# Difference between revisions of "Mathematics"

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(Differential K-theory. A survey) |
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see also [[Differential Geometry]] | see also [[Differential Geometry]] | ||

+ | __TOC__ | ||

+ | ===reviews=== | ||

+ | [http://arxiv.org/abs/1101.3055 Introduction to Sporadic Groups]<br> | ||

+ | by Luis J. Boya (1101.3055 [hep-th], 18 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/1011.6663 Differential K-theory. A survey]<br> | ||

+ | by Ulrich Bunke (Universität Regensburg), Thomas Schick (Georg-August-Universität Göttingen) (1011.6663 [hep-th], 50 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/0906.2747 Gauge Theory and Langlands Duality]<br> | ||

+ | by Edward Frenkel (0906.2747 [hep-th], 32 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/0802.3857 Three lectures on classical integrable systems and gauge field theories]<br> | ||

+ | by M.Olshanetsky (0802.3857 [hep-th], 36 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/0706.2369 Surface Operators and Knot Homologies]<br> | ||

+ | by S. Gukov (hep-th/0706.2369, 37 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.DG/0703231 Sasakian Geometry, Holonomy, and Supersymmetry]<br> | ||

+ | by C.P. Boyer, K. Galicki (math.DG/0703231, 39 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0703013 Lectures on Hopf Algebras, Quantum Groups and Twists]<br> | ||

+ | by P. Aschieri (hep-th/0703013, 20 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0702063 Lectures on Complex Geometry, Calabi-Yau Manifolds and Toric Geometry]<br> | ||

+ | by V. Bouchard (hep-th/0702063, 63 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.GT/0701568 Introduction to the Gopakumar-Vafa Large N Duality]<br> | ||

+ | by D. Auckly, S. Koshkin (math.GT/0701568, 260 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0612307 Toric Geometry and Calabi-Yau Compactifications]<br> | ||

+ | by M. Kreuzer (hep-th/0612307, 12 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0611263 The Unitary Representations of the Poincare Group in Any Spacetime Dimension]<br> | ||

+ | by X. Bekaert, N. Boulanger (hep-th/0611263, 50 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0611201 Topology of Fibre bundles and Global Aspects of Gauge Theories]<br> | ||

+ | by A. Collinucci, A. Wijns (hep-th/0611201, 42 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0610328 What Does(n't) K-theory Classify?]<br> | ||

+ | by J. Evslin (hep-th/0610328, 91 pages) | ||

− | |||

[http://arxiv.org/abs/math/0607228 Affine quantum groups]<br> | [http://arxiv.org/abs/math/0607228 Affine quantum groups]<br> | ||

by G. W. Delius, N. J. MacKay (math/0607228, 15 pages)<br> | by G. W. Delius, N. J. MacKay (math/0607228, 15 pages)<br> | ||

concise review for Encyclopedia of Mathematical Physics (Elsevier, 2006) | concise review for Encyclopedia of Mathematical Physics (Elsevier, 2006) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0607033 Physics and Mathematics of Calogero Particles]<br> | ||

+ | by A.P. Polychronakos (hep-th/0607033, 65 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0605148 Lectures on Generalized Complex Geometry and Supersymmetry]<br> | ||

+ | by M. Zabzine (hep-th/0605148, 34 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0603240 A Brief Review of Supersymmetric Non-linear Sigma Models and Generalized Complex Geometry]<br> | ||

+ | by U. Lindström (hep-th/0603240, 16 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0601091 Lectures on Twistors]<br> | ||

+ | by I. Bars (hep-th/0601091, 39 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0512197 Complex Geometry and Supergeometry]<br> | ||

+ | by E. D'Hoker, D.H. Phong (hep-th/0512197, 42 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0512172 Lectures on the Langlands Program and Conformal Field Theory]<br> | ||

+ | by E. Frenkel (hep-th/0512172, 128 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0510202 Hopf Algebra Approach to Feynman Diagram Calculations]<br> | ||

+ | by K. Ebrahimi-Fard, D. Kreimer (hep-th/0510202, 30 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0506011 Clifford Algebras in Physics]<br> | ||

+ | by M. Rausch de Traubenberg (hep-th/0506011, 38 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0503035 Particle Physics as Representations of the Poincare Algebra]<br> | ||

+ | by L. Brink (hep-th/0503035, 25 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.AG/0412514 Geometric Transitions]<br> | ||

+ | by M. Rossi (math.AG/0412514, 44 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math-ph/0412039 Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory]<br> | ||

+ | by N.M. Nikolov, I.T. Todorov (math-ph/0412039, 87 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.AG/0412328 Fourier Mukai Transforms and Applications to String Theory]<br> | ||

+ | by B. Andreas, D.H. Ruiperez (math.AG/0412328, 52 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-ph/0409233 Introduction to Nonequilibrium Quantum Field Theory]<br> | ||

+ | by J. Berges (hep-ph/0409233, 131 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0409183 Introduction to Yangian Symmetry in Integrable Field Theory]<br> | ||

+ | by N. MacKay (hep-th/0409183, 36 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math-ph/0406013 2D Quantum Gravity, Matrix Models and Graph Combinatorics]<br> | ||

+ | by P. Di Francesco (math-ph/0406013, 60 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0404120 Conformal Field Theory and Torsion Elements of the Bloch Group]<br> | ||

+ | by W. Nahm (hep-th/0404120, 63 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.QA/0402345 Monstrous Moonshine: The First Twenty-five Years]<br> | ||

+ | by T. Gannon (math.QA/0402345, 32 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0402097 Lectures on Integrable Hierarchies and Vertex Operators]<br> | ||

+ | by A.A. Vladimirov (hep-th/0402097, 28 pages) | ||

[http://arxiv.org/abs/hep-th/0401049 Les Houches Lectures on Strings and Arithmetic]<br> | [http://arxiv.org/abs/hep-th/0401049 Les Houches Lectures on Strings and Arithmetic]<br> | ||

Line 11: | Line 104: | ||

[http://arxiv.org/abs/hep-th/0312068 Automorphic forms: a physicist's survey]<br> | [http://arxiv.org/abs/hep-th/0312068 Automorphic forms: a physicist's survey]<br> | ||

by B. Pioline, A. Waldron (hep-th/0312068, 22 pages) | by B. Pioline, A. Waldron (hep-th/0312068, 22 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.AG/0311058 Lectures on Instanton Counting]<br> | ||

+ | by H. Nakajima, K. Yoshioka (math.AG/0311058, 60 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.AG/0308173 Lectures on Mirror Symmetry, Derived Categories, and D-branes]<br> | ||

+ | by A. Kapustin, D. Orlov (math.AG/0308173, 30 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0307245 Lectures on D-branes and Sheaves]<br> | ||

+ | by E. Sharpe (hep-th/0307245, 87 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0212313 Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons]<br> | ||

+ | by E. D'Hoker, I.M. Krichever, D.H. Phong (hep-th/0212313, 47 pages) | ||

[http://arxiv.org/abs/hep-th/0210145 Enumerative geometry and knot invariants]<br> | [http://arxiv.org/abs/hep-th/0210145 Enumerative geometry and knot invariants]<br> | ||

by Marcos Marino (hep-th/0210145, 69 pages, 13 figures) | by Marcos Marino (hep-th/0210145, 69 pages, 13 figures) | ||

+ | |||

+ | [http://arxiv.org/abs/math.AG/0209044 Large N Dualities and Transitions in Geometry]<br> | ||

+ | by A. Grassi, M. Rossi (math.AG/0209044, 76 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0207271 What Do Topologists Want from Seiberg-Witten Theory?]<br> | ||

+ | by K. Iga (hep-th/0207271, 51 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math-ph/0206031 K-Theory in Quantum Field Theory]<br> | ||

+ | by D.S. Freed (math-ph/0206031, 56 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/cond-mat/0205288 An Introduction to Symmetric Spaces]<br> | ||

+ | by U. Magnea (cond-mat/0205288, 65 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.QA/0204079 Noether's Variational Theorem II and the BV Formalism]<br> | ||

+ | by R. Fulp, T. Lada, J. Stasheff (math.QA/0204079, 15 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math-ph/0203040 Ten Lectures on Jet Manifolds in Classical and Quantum Field Theory]<br> | ||

+ | by G. Sardanashvily (math-ph/0203040, 77 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0202110 Structures in Feynman Graphs - Hopf Algebras and Symmetries]<br> | ||

+ | by D. Kreimer (hep-th/0202110, 41 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0111228 Bits and Pieces in Logarithmic Conformal Field Theory]<br> | ||

+ | by M. Flohr (hep-th/0111228, 90 pages) | ||

[http://arxiv.org/abs/math.DG/0108088 Lectures on Calabi-Yau and special Lagrangian geometry]<br> | [http://arxiv.org/abs/math.DG/0108088 Lectures on Calabi-Yau and special Lagrangian geometry]<br> | ||

Line 20: | Line 149: | ||

[http://arxiv.org/abs/hep-th/0107079 Math and Physics]<br> | [http://arxiv.org/abs/hep-th/0107079 Math and Physics]<br> | ||

by Jose M. F. Labastida (hep-th/0107079, 20 pages) | by Jose M. F. Labastida (hep-th/0107079, 20 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math-ph/0107018 Heat Kernel Approach in Quantum Field Theory]<br> | ||

+ | by I. Avramidi (math-ph/0107018, 66 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.RA/0105155 The Octonions]<br> | ||

+ | by J. Baez (math.RA/0105155, 56 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math-ph/0102018 Algebraic Quantum Field Theory and Operator Algebras]<br> | ||

+ | by B. Schroer (math-ph/0102018, 69 pages) | ||

[http://arxiv.org/abs/hep-th/0007175 Overview Of K-Theory Applied To Strings]<br> | [http://arxiv.org/abs/hep-th/0007175 Overview Of K-Theory Applied To Strings]<br> | ||

by Edward Witten (hep-th/0007175, 20 pages) | by Edward Witten (hep-th/0007175, 20 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math-ph/0005032 An Elementary Introduction to Groups and Representations]<br> | ||

+ | by B.C. Hall (math-ph/0005032, 128 pages) | ||

[http://arxiv.org/abs/math-ph/0003018 An Introduction to Quantum Algebras and Their Applications]<br> | [http://arxiv.org/abs/math-ph/0003018 An Introduction to Quantum Algebras and Their Applications]<br> | ||

Line 29: | Line 170: | ||

[http://arxiv.org/abs/hep-th/0003006 A Short Survey of Noncommutative Geometry]<br> | [http://arxiv.org/abs/hep-th/0003006 A Short Survey of Noncommutative Geometry]<br> | ||

by Alain Connes (hep-th/0003006, 45 pages) | by Alain Connes (hep-th/0003006, 45 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9912104 Fields, Strings, Matrices and Symmetric Products]<br> | ||

+ | by R. Dijkgraaf (hep-th/9912104, 52 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9910156 An Introduction to Conformal Field Theory]<br> | ||

+ | by M.R. Gaberdiel (hep-th/9910156, 69 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math-ph/9910013 q-Deformed Heisenberg Algebras]<br> | ||

+ | by J. Wess (math-ph/9910013, 63 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/quant-ph/9907069 Dirac's Formalism and Mathematical Surprises in Quantum Mechanics]<br> | ||

+ | by F. Gieres (quant-ph/9907069, 39 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.QA/9906167 Monstrous Moonshine and the Classification of CFT]<br> | ||

+ | by T. Gannon (math.QA/9906167, 65 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9905057 Chern-Simons Gauge Theory: Ten Years After]<br> | ||

+ | by J.M.F. Labastida (hep-th/9905057, 62 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9810250 3-Sasakian Manifolds]<br> | ||

+ | by C.P. Boyer, K. Galicki (hep-th/9810250, 59 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/math.QA/9809056 Deformation Quantization: Twenty Years After]<br> | ||

+ | by D. Sternheimer (math.QA/9809056, 39 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9712154 About Symmetries in Physics]<br> | ||

+ | by F. Gieres (hep-th/9712154, 42 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9709192 Lectures in Topological Quantum Field Theory]<br> | ||

+ | by J.M.F. Labastida, C. Lozano (hep-th/9709192, 62 pages) | ||

[http://arxiv.org/abs/hep-th/9705211 Quantum Groups, Roots of Unity and Particles on quantized Anti-de Sitter Space]<br> | [http://arxiv.org/abs/hep-th/9705211 Quantum Groups, Roots of Unity and Particles on quantized Anti-de Sitter Space]<br> | ||

by Harold Steinacker (hep-th/9705211, 115 pages, 8 figures) | by Harold Steinacker (hep-th/9705211, 115 pages, 8 figures) | ||

+ | |||

+ | [http://arxiv.org/abs/q-alg/9705009 An Introduction to n-Categories]<br> | ||

+ | by J. Baez (q-alg/9705009, 34 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9608068 Equivariant Localization of Path Integrals]<br> | ||

+ | by R.J. Szabo (hep-th/9608068, 250 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9607161 Dictionary on Lie Superalgebras]<br> | ||

+ | by L. Frappat, A. Sciarrino, P. Sorba (hep-th/9607161, 145 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/quant-ph/9606031 Dirac's Canonical Quantization Programme]<br> | ||

+ | by H.-J. Matschull (quant-ph/9606031, 40 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9511038 New Results in Topological Field Theory and Abelian Gauge Theory]<br> | ||

+ | by G. Thompson (hep-th/9511038, 57 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/gr-qc/9507046 Dirac Operator and Eigenvalues in Riemannian Geometry]<br> | ||

+ | by G. Esposito (gr-qc/9507046, 105 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/q-alg/9506002 Links, Quantum Groups, and TQFT's]<br> | ||

+ | by S. Sawin (q-alg/9506002, 36 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9411210 Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories]<br> | ||

+ | by S. Cordes, G. Moore, S. Ramgoolam (hep-th/9411210, 247 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9306153 2D Gravity and Random Matrices]<br> | ||

+ | by P. Di Francesco, P. Ginsparg, J. Zinn-Justin (hep-th/9306153, 190 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9209066 An Anyon Primer]<br> | ||

+ | by S. Rao (hep-th/9209066, 88 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9203026 The Mathai-Quillen Formalism and Topological Field Theory]<br> | ||

+ | by M. Blau (hep-th/9203026, 34 pages) | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/9201003 Intersection Theory, Integrable Hierarchies and Topological Field Theory]<br> | ||

+ | by R. Dijkgraaf (hep-th/9201003, 73 pages) | ||

+ | |||

+ | ===links=== | ||

+ | [http://www2.math.northwestern.edu/langlands/ Geometric Langlands Program] |

## Latest revision as of 14:14, 18 April 2011

see also Differential Geometry

### reviews

Introduction to Sporadic Groups

by Luis J. Boya (1101.3055 [hep-th], 18 pages)

Differential K-theory. A survey

by Ulrich Bunke (Universität Regensburg), Thomas Schick (Georg-August-Universität Göttingen) (1011.6663 [hep-th], 50 pages)

Gauge Theory and Langlands Duality

by Edward Frenkel (0906.2747 [hep-th], 32 pages)

Three lectures on classical integrable systems and gauge field theories

by M.Olshanetsky (0802.3857 [hep-th], 36 pages)

Surface Operators and Knot Homologies

by S. Gukov (hep-th/0706.2369, 37 pages)

Sasakian Geometry, Holonomy, and Supersymmetry

by C.P. Boyer, K. Galicki (math.DG/0703231, 39 pages)

Lectures on Hopf Algebras, Quantum Groups and Twists

by P. Aschieri (hep-th/0703013, 20 pages)

Lectures on Complex Geometry, Calabi-Yau Manifolds and Toric Geometry

by V. Bouchard (hep-th/0702063, 63 pages)

Introduction to the Gopakumar-Vafa Large N Duality

by D. Auckly, S. Koshkin (math.GT/0701568, 260 pages)

Toric Geometry and Calabi-Yau Compactifications

by M. Kreuzer (hep-th/0612307, 12 pages)

The Unitary Representations of the Poincare Group in Any Spacetime Dimension

by X. Bekaert, N. Boulanger (hep-th/0611263, 50 pages)

Topology of Fibre bundles and Global Aspects of Gauge Theories

by A. Collinucci, A. Wijns (hep-th/0611201, 42 pages)

What Does(n't) K-theory Classify?

by J. Evslin (hep-th/0610328, 91 pages)

Affine quantum groups

by G. W. Delius, N. J. MacKay (math/0607228, 15 pages)

concise review for Encyclopedia of Mathematical Physics (Elsevier, 2006)

Physics and Mathematics of Calogero Particles

by A.P. Polychronakos (hep-th/0607033, 65 pages)

Lectures on Generalized Complex Geometry and Supersymmetry

by M. Zabzine (hep-th/0605148, 34 pages)

A Brief Review of Supersymmetric Non-linear Sigma Models and Generalized Complex Geometry

by U. Lindström (hep-th/0603240, 16 pages)

Lectures on Twistors

by I. Bars (hep-th/0601091, 39 pages)

Complex Geometry and Supergeometry

by E. D'Hoker, D.H. Phong (hep-th/0512197, 42 pages)

Lectures on the Langlands Program and Conformal Field Theory

by E. Frenkel (hep-th/0512172, 128 pages)

Hopf Algebra Approach to Feynman Diagram Calculations

by K. Ebrahimi-Fard, D. Kreimer (hep-th/0510202, 30 pages)

Clifford Algebras in Physics

by M. Rausch de Traubenberg (hep-th/0506011, 38 pages)

Particle Physics as Representations of the Poincare Algebra

by L. Brink (hep-th/0503035, 25 pages)

Geometric Transitions

by M. Rossi (math.AG/0412514, 44 pages)

Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory

by N.M. Nikolov, I.T. Todorov (math-ph/0412039, 87 pages)

Fourier Mukai Transforms and Applications to String Theory

by B. Andreas, D.H. Ruiperez (math.AG/0412328, 52 pages)

Introduction to Nonequilibrium Quantum Field Theory

by J. Berges (hep-ph/0409233, 131 pages)

Introduction to Yangian Symmetry in Integrable Field Theory

by N. MacKay (hep-th/0409183, 36 pages)

2D Quantum Gravity, Matrix Models and Graph Combinatorics

by P. Di Francesco (math-ph/0406013, 60 pages)

Conformal Field Theory and Torsion Elements of the Bloch Group

by W. Nahm (hep-th/0404120, 63 pages)

Monstrous Moonshine: The First Twenty-five Years

by T. Gannon (math.QA/0402345, 32 pages)

Lectures on Integrable Hierarchies and Vertex Operators

by A.A. Vladimirov (hep-th/0402097, 28 pages)

Les Houches Lectures on Strings and Arithmetic

by Gregory W. Moore (hep-th/0401049, 61 pages, 3 figures)

Automorphic forms: a physicist's survey

by B. Pioline, A. Waldron (hep-th/0312068, 22 pages)

Lectures on Instanton Counting

by H. Nakajima, K. Yoshioka (math.AG/0311058, 60 pages)

Lectures on Mirror Symmetry, Derived Categories, and D-branes

by A. Kapustin, D. Orlov (math.AG/0308173, 30 pages)

Lectures on D-branes and Sheaves

by E. Sharpe (hep-th/0307245, 87 pages)

Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons

by E. D'Hoker, I.M. Krichever, D.H. Phong (hep-th/0212313, 47 pages)

Enumerative geometry and knot invariants

by Marcos Marino (hep-th/0210145, 69 pages, 13 figures)

Large N Dualities and Transitions in Geometry

by A. Grassi, M. Rossi (math.AG/0209044, 76 pages)

What Do Topologists Want from Seiberg-Witten Theory?

by K. Iga (hep-th/0207271, 51 pages)

K-Theory in Quantum Field Theory

by D.S. Freed (math-ph/0206031, 56 pages)

An Introduction to Symmetric Spaces

by U. Magnea (cond-mat/0205288, 65 pages)

Noether's Variational Theorem II and the BV Formalism

by R. Fulp, T. Lada, J. Stasheff (math.QA/0204079, 15 pages)

Ten Lectures on Jet Manifolds in Classical and Quantum Field Theory

by G. Sardanashvily (math-ph/0203040, 77 pages)

Structures in Feynman Graphs - Hopf Algebras and Symmetries

by D. Kreimer (hep-th/0202110, 41 pages)

Bits and Pieces in Logarithmic Conformal Field Theory

by M. Flohr (hep-th/0111228, 90 pages)

Lectures on Calabi-Yau and special Lagrangian geometry

by Dominic Joyce (math.DG/0108088, 56 pages)

Math and Physics

by Jose M. F. Labastida (hep-th/0107079, 20 pages)

Heat Kernel Approach in Quantum Field Theory

by I. Avramidi (math-ph/0107018, 66 pages)

The Octonions

by J. Baez (math.RA/0105155, 56 pages)

Algebraic Quantum Field Theory and Operator Algebras

by B. Schroer (math-ph/0102018, 69 pages)

Overview Of K-Theory Applied To Strings

by Edward Witten (hep-th/0007175, 20 pages)

An Elementary Introduction to Groups and Representations

by B.C. Hall (math-ph/0005032, 128 pages)

An Introduction to Quantum Algebras and Their Applications

by R. Jaganathan (math-ph/0003018, 15 pages)

A Short Survey of Noncommutative Geometry

by Alain Connes (hep-th/0003006, 45 pages)

Fields, Strings, Matrices and Symmetric Products

by R. Dijkgraaf (hep-th/9912104, 52 pages)

An Introduction to Conformal Field Theory

by M.R. Gaberdiel (hep-th/9910156, 69 pages)

q-Deformed Heisenberg Algebras

by J. Wess (math-ph/9910013, 63 pages)

Dirac's Formalism and Mathematical Surprises in Quantum Mechanics

by F. Gieres (quant-ph/9907069, 39 pages)

Monstrous Moonshine and the Classification of CFT

by T. Gannon (math.QA/9906167, 65 pages)

Chern-Simons Gauge Theory: Ten Years After

by J.M.F. Labastida (hep-th/9905057, 62 pages)

3-Sasakian Manifolds

by C.P. Boyer, K. Galicki (hep-th/9810250, 59 pages)

Deformation Quantization: Twenty Years After

by D. Sternheimer (math.QA/9809056, 39 pages)

About Symmetries in Physics

by F. Gieres (hep-th/9712154, 42 pages)

Lectures in Topological Quantum Field Theory

by J.M.F. Labastida, C. Lozano (hep-th/9709192, 62 pages)

Quantum Groups, Roots of Unity and Particles on quantized Anti-de Sitter Space

by Harold Steinacker (hep-th/9705211, 115 pages, 8 figures)

An Introduction to n-Categories

by J. Baez (q-alg/9705009, 34 pages)

Equivariant Localization of Path Integrals

by R.J. Szabo (hep-th/9608068, 250 pages)

Dictionary on Lie Superalgebras

by L. Frappat, A. Sciarrino, P. Sorba (hep-th/9607161, 145 pages)

Dirac's Canonical Quantization Programme

by H.-J. Matschull (quant-ph/9606031, 40 pages)

New Results in Topological Field Theory and Abelian Gauge Theory

by G. Thompson (hep-th/9511038, 57 pages)

Dirac Operator and Eigenvalues in Riemannian Geometry

by G. Esposito (gr-qc/9507046, 105 pages)

Links, Quantum Groups, and TQFT's

by S. Sawin (q-alg/9506002, 36 pages)

Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories

by S. Cordes, G. Moore, S. Ramgoolam (hep-th/9411210, 247 pages)

2D Gravity and Random Matrices

by P. Di Francesco, P. Ginsparg, J. Zinn-Justin (hep-th/9306153, 190 pages)

An Anyon Primer

by S. Rao (hep-th/9209066, 88 pages)

The Mathai-Quillen Formalism and Topological Field Theory

by M. Blau (hep-th/9203026, 34 pages)

Intersection Theory, Integrable Hierarchies and Topological Field Theory

by R. Dijkgraaf (hep-th/9201003, 73 pages)