Mathematical Physics

J. Qiu, M. Zabzine
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
math.QA/1105.2680 (67 p.)

A. Torrielli
Yangians, S-matrices and AdS/CFT
hep-th/1104.2474 (95 p.)

R. Blumenhagen, B. Jurke, T. Rahn
Computational Tools for Cohomology of Toric Varieties
hep-th/1104.1187 (17 p.)

M. Marino
Lectures on Localization and Matrix Models in Supersymmetric Chern-Simons-Matter Theories
hep-th/1104.0783 (71 p.)

F. Denef
TASI Lectures on Complex Structures
hep-th/1104.0254 (109 p.)

L.J. Boya
Introduction to Sporadic Groups
math-ph/1101.3055 (18 p.)

U. Bunke, T. Schick
Differential K-theory. A Survey
math.KT/1011.6663 (50 p.)

S. Gukov
Quantization via Mirror Symmetry
hep-th/1011.2218 (44 p.)

I. Todorov
Minimal Representations and Reductive Dual Pairs in Conformal Field Theory
math-ph/1006.1981 (21 p.)

P. Koerber
Lectures on Generalized Complex Geometry for Physicists
hep-th/1006.1536 (94 p.)

C. Bergbauer
Notes on Feynman Integrals and Renormalization
hep-th/1005.3960 (39 p.)

K. Kirsten
Basic Zeta Functions and Some Applications in Physics
hep-th/1005.2389 (36 p.)

J.A. de Azcarraga, J.M. Izquierdo
N-ary Algebras: A Review with Applications
math-ph/1005.1028 (118 p.)

J. Sparks
Sasaki-Einstein Manifolds
math.DG/1004.2461 (57 p.)

J.C. Baez, J. Huerta
An Invitation to Higher Gauge Theory
hep-th/1003.4485 (60 p.)

H. Ishimori, T. Kobayashi, H. Ohki, H. Okada, Y. Shimizu, M. Tanimoto
Non-Abelian Discrete Symmetries in Particle Physics
hep-th/1003.3552 (177 p.)

M. Wolf
A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
hep-th/1001.3871 (115 p.)

A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos
Introduction to Quantum Integrability
math-ph/0912.3350 (56 p.)

R.J. Szabo
Instantons, Topological Strings and Enumerative Geometry
hep-th/0912.1509 (61 p.)

K.-G. Schlesinger
A Physics Perspective on Geometric Langlands Duality
hep-th/0911.4586 (19 p.)

S. Grigorian
Moduli Spaces of G2 Manifolds
math.DG/0911.2185 (31 p.)

J. Fuchs, I. Runkel, C. Schweigert
Twenty-five Years of Two-dimensional Rational Conformal Field Theory
hep-th/0910.3145 (25 p.)

A. Rej, M. Marcolli
Motives: An Introductory Survey for Physicists
hep-th/0907.4046 (31 p.)

E. Frenkel
Gauge Theory and Langlands Duality
math.RT/0906.2747 (32 p.)

A. Aste, C. von Arx, G. Scharf
Regularization in Quantum Field Theory From the Causal Point of View
hep-th/0906.1952 (70 p.)

D. Kreimer
Algebra for Quantum Fields
hep-th/0906.1851 (16 p.)

E. Witten
Geometric Langlands and the Equations of Nahm and Bogomolny
hep-th/0905.4795 (37 p.)

C. Closset
Toric Geometry and Local Calabi-Yau Varieties: An Introduction to Toric Geometry (for Physicists)
hep-th/0901.3695 (35 p.)

H. Ooguri
Geometry As Seen By String Theory
math.AG/0901.1881 (29 p.)

J.M. Figueroa-O'Farrill
Three Lectures on 3-algebras
hep-th/0812.2865 (15 p.)

J.M. Figueroa-O'Farrill
The Homogeneity Conjecture for Supergravity Backgrounds
hep-th/0812.1258 (16 p.)

J. Govaerts
A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics
hep-th/0812.0721 (79 p.)

M.Olshanetsky
Three Lectures on Classical Integrable Systems and Gauge Field Theories
hep-th/0802.3857 (36 p.)

S. Gukov
Surface Operators and Knot Homologies
hep-th/0706.2369 (37 p.)

C.P. Boyer, K. Galicki
Sasakian Geometry, Holonomy, and Supersymmetry
math.DG/0703231 (39 p.)

P. Aschieri
Lectures on Hopf Algebras, Quantum Groups and Twists
hep-th/0703013 (20 p.)

V. Bouchard
Lectures on Complex Geometry, Calabi-Yau Manifolds and Toric Geometry
hep-th/0702063 (63 p.)

D. Auckly, S. Koshkin
Introduction to the Gopakumar-Vafa Large N Duality
math.GT/0701568 (260 p.)

M. Kreuzer
Toric Geometry and Calabi-Yau Compactifications
hep-th/0612307 (12 p.)

X. Bekaert, N. Boulanger
The Unitary Representations of the Poincare Group in Any Spacetime Dimension
hep-th/0611263 (50 p.)

A. Collinucci, A. Wijns
Topology of Fibre bundles and Global Aspects of Gauge Theories
hep-th/0611201 (42 p.)

J. Evslin
What Does(n't) K-theory Classify?
hep-th/0610328 (91 p.)

A.P. Polychronakos
Physics and Mathematics of Calogero Particles
hep-th/0607033 (65 p.)

M. Zabzine
Lectures on Generalized Complex Geometry and Supersymmetry
hep-th/0605148 (34 p.)

U. Lindström
A Brief Review of Supersymmetric Non-linear Sigma Models and Generalized Complex Geometry
hep-th/0603240 (16 p.)

I. Bars
Lectures on Twistors
hep-th/0601091 (39 p.)

E. D'Hoker, D.H. Phong
Complex Geometry and Supergeometry
hep-th/0512197 (42 p.)

E. Frenkel
Lectures on the Langlands Program and Conformal Field Theory
hep-th/0512172 (128 p.)

K. Ebrahimi-Fard, D. Kreimer
Hopf Algebra Approach to Feynman Diagram Calculations
hep-th/0510202 (30 p.)

M. Rausch de Traubenberg
Clifford Algebras in Physics
hep-th/0506011 (38 p.)

L. Brink
Particle Physics as Representations of the Poincare Algebra
hep-th/0503035 (25 p.)

C.M. Bender
Introduction to PT-Symmetric Quantum Theory
quant-ph/0501052 (23 p.)

M. Rossi
Geometric Transitions
math.AG/0412514 (44 p.)

N.M. Nikolov, I.T. Todorov
Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory
math-ph/0412039 (87 p.)

B. Andreas, D.H. Ruiperez
Fourier Mukai Transforms and Applications to String Theory
math.AG/0412328 (52 p.)

J. Berges
Introduction to Nonequilibrium Quantum Field Theory
hep-ph/0409233 (131 p.)

N. MacKay
Introduction to Yangian Symmetry in Integrable Field Theory
hep-th/0409183 (36 p.)

P. Di Francesco
2D Quantum Gravity, Matrix Models and Graph Combinatorics
math-ph/0406013 (60 p.)

W. Nahm
Conformal Field Theory and Torsion Elements of the Bloch Group
hep-th/0404120 (63 p.)

T. Gannon
Monstrous Moonshine: The First Twenty-five Years
math.QA/0402345 (32 p.)

A.A. Vladimirov
Lectures on Integrable Hierarchies and Vertex Operators
hep-th/0402097 (28 p.)

G.W. Moore
Les Houches Lectures on Strings and Arithmetic
hep-th/0401049 (61 p.)

H. Nakajima, K. Yoshioka
Lectures on Instanton Counting
math.AG/0311058 (60 p.)

A. Kapustin, D. Orlov
Lectures on Mirror Symmetry, Derived Categories, and D-branes
math.AG/0308173 (30 p.)

D.V. Vassilevich
Heat Kernel Expansion: User's Manual
hep-th/0306138 (113 p.)

M. Moshe, J. Zinn-Justin
Quantum Field Theory in the Large N Limit: A Review
hep-th/0306133 (200 p.)

E. D'Hoker, I.M. Krichever, D.H. Phong
Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons
hep-th/0212313 (47 p.)

A. Grassi, M. Rossi
Large N Dualities and Transitions in Geometry
math.AG/0209044 (76 p.)

K. Iga
What Do Topologists Want from Seiberg-Witten Theory?
hep-th/0207271 (51 p.)

D.S. Freed
K-Theory in Quantum Field Theory
math-ph/0206031 (56 p.)

U. Magnea
An Introduction to Symmetric Spaces
cond-mat/0205288 (65 p.)

R. Fulp, T. Lada, J. Stasheff
Noether's Variational Theorem II and the BV Formalism
math.QA/0204079 (15 p.)

R.E. Borcherds, A. Barnard
Lectures on Quantum Field Theory
math-ph/0204014 (76 p.)

G. Sardanashvily
Ten Lectures on Jet Manifolds in Classical and Quantum Field Theory
math-ph/0203040 (77 p.)

D. Kreimer
Structures in Feynman Graphs - Hopf Algebras and Symmetries
hep-th/0202110 (41 p.)

M.R. Gaberdiel
An Algebraic Approach to Logarithmic Conformal Field Theory
hep-th/0111260 (55 p.)

M. Flohr
Bits and Pieces in Logarithmic Conformal Field Theory
hep-th/0111228 (90 p.)

J. Polonyi
Lectures on the Functional Renormalization Group Method
hep-th/0110026 (47 p.)

D. Joyce
Lectures on Calabi-Yau and Special Lagrangian Geometry
math.DG/0108088 (56 p.)

I. Avramidi
Heat Kernel Approach in Quantum Field Theory
math-ph/0107018 (66 p.)

J. Baez
The Octonions
math.RA/0105155 (56 p.)

B. Schroer
Algebraic Quantum Field Theory and Operator Algebras
math-ph/0102018 (69 p.)

T. Heinzl
Light-Cone Quantization: Foundations and Applications
hep-th/0008096 (90 p.)

B.C. Hall
An Elementary Introduction to Groups and Representations
math-ph/0005032 (128 p.)

R. Dijkgraaf
Fields, Strings, Matrices and Symmetric Products
hep-th/9912104 (52 p.)

M.R. Gaberdiel
An Introduction to Conformal Field Theory
hep-th/9910156 (69 p.)

J. Wess
q-Deformed Heisenberg Algebras
math-ph/9910013 (63 p.)

F. Gieres
Dirac's Formalism and Mathematical Surprises in Quantum Mechanics
quant-ph/9907069 (39 p.)

T. Gannon
Monstrous Moonshine and the Classification of CFT
math.QA/9906167 (65 p.)

J.M.F. Labastida
Chern-Simons Gauge Theory: Ten Years After
hep-th/9905057 (62 p.)

C.P. Boyer, K. Galicki
3-Sasakian Manifolds
hep-th/9810250 (59 p.)

D. Sternheimer
Deformation Quantization: Twenty Years After
math.QA/9809056 (39 p.)

H. Skarke
String Dualities and Toric Geometry: An Introduction
hep-th//9806059 (17 p.)

F. Gieres
About Symmetries in Physics
hep-th/9712154 (42 p.)

J.M.F. Labastida, C. Lozano
Lectures in Topological Quantum Field Theory
hep-th/9709192 (62 p.)

J. Baez
An Introduction to n-Categories
q-alg/9705009 (34 p.)

R.J. Szabo
Equivariant Localization of Path Integrals
hep-th/9608068 (250 p.)

L. Frappat, A. Sciarrino, P. Sorba
Dictionary on Lie Superalgebras
hep-th/9607161 (145 p.)

H.-J. Matschull
Dirac's Canonical Quantization Programme
quant-ph/9606031 (40 p.)

G. Thompson
New Results in Topological Field Theory and Abelian Gauge Theory
hep-th/9511038 (57 p.)

G. Esposito
Dirac Operator and Eigenvalues in Riemannian Geometry
gr-qc/9507046 (105 p.)

S. Sawin
Links, Quantum Groups, and TQFT's
q-alg/9506002 (36 p.)

S. Cordes, G. Moore, S. Ramgoolam
Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
hep-th/9411210 (247 p.)

P. Di Francesco, P. Ginsparg, J. Zinn-Justin
2D Gravity and Random Matrices
hep-th/9306153 (190 p.)

S. Rao
An Anyon Primer
hep-th/9209066 (88 p.)

M. Blau
The Mathai-Quillen Formalism and Topological Field Theory
hep-th/9203026 (34 p.)

R. Dijkgraaf
Intersection Theory, Integrable Hierarchies and Topological Field Theory
hep-th/9201003 (73 p.)