What is mathematical physics?
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physics?
- Gerard 't Hooft HOW to BECOME a GOOD THEORETICAL PHYSICIST
papers
- The topcited mathematical physics papers of all time
- Papers most cited in mathematical physics articles
links
3D gravity and Chern-Simons
- http://www.math.toronto.edu/~drorbn/papers/thesis/thesis.ps Dror Bar-Natan's thesis: Perturbative Aspects of the Chern-Simons Topological Quantum Field Theory
- http://proquest.umi.com.proxy.hil.unb.ca/pqdweb?index=29&did=746697231&SrchMode=1&sid=1&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1205550395&clientId=10774 Axelrod's PhD thesis: Geometric quantization of Chern-Simons gauge theory
- Three-Dimensional Gravity Revisited---Witten http://arxiv.org/pdf/0706.3359 arXiv:0706.3359
- Quantum Gravity Partition Functions in Three Dimensions---Alexander Maloney, Edward Witten http://arxiv.org/pdf/0712.0155 arXiv:0712.0155
- The Verlinde algebra and the cohomology of the Grassmannian---Witten. 99pp. http://arxiv.org/pdf/hep-th/9312104 hep-th/9312104
- http://www-lib.kek.jp/cgi-bin/img/page_index?198910040 Topological Gauge Theories And Group Cohomology -- Dijkgraaf, Witten, 1989, 59p
- Chern-Simons gauge theory as a string theory -- Witten, 1992, 53p http://arXiv.org/abs/hep-th/9207094 hep-th/9207094
- http://www-lib.kek.jp/cgi-bin/img/page_index?198901237 QFT and the Jones Polynomial -- Witten: 1000+, 89p
- http://www-lib.kek.jp/cgi-bin/img_index?8904480 Topology Changing Amplitudes in (2+1)-Dimensional Gravity--Witten, 1989
- http://www-lib.kek.jp/cgi-bin/img_index?9009085 Quantization Of Chern-Simons Gauge Theory With Complex Gauge Group-- Witten, 1991
- http://www-lib.kek.jp/cgi-bin/img_index?8901236 (2+1)-Dimensional Gravity as an Exactly Soluble System--Witten, 1988
- Chern-Simons perturbation theory. 2.--Axelrod and Singer, http://arxiv.org/abs/hep-th/9304087 hep-th/9304087
- Chern-Simons Perturbation Theory--Axlrod and Singer, http://arxiv.org/abs/hep-th/9110056 hep-th/9110056
- Perturbative topological field theory--Dijkgraaf, 1995, In * Trieste 1993, Proceedings, String theory, gauge theory and quantum gravity '93* 189-227.
- Quantum Field Theory and the Volume Conjecture --Tudor Dimofte, Sergei Gukov, http://arxiv.org/abs/1003.4808 arXiv:1003.4808
- Exact Results for Perturbative Chern-Simons Theory with Complex Gauge Group--Tudor Dimofte, Sergei Gukov, Jonatan Lenells, Don Zagier, http://arxiv.org/abs/0903.2472 arXiv:0903.2472
- Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial--Gukov, http://arxiv.org/abs/hep-th/0306165 hep-th/0306165
Matrix Model
- 2D Gravtiy and Random Matrices--Francesco, Ginsparg and Zinn-Justin, http://arxiv.org/abs/hep-th/9306153 hep-th/9306153
- Algebraic methods in random matrices and enumerative geometry--Eynard and Orantin, http://arxiv.org/abs/0811.3531 arXiv:0811.3531
- Matrix Models of 2D String Theory in Non--trivial Backgrounds--Arnaud Koetsier, http://arxiv.org/abs/hep-th/0509024v1 hep-th/0509024
Anomaly
- Gravitational Anomalies, L. Alvarez-Gaum´e and E. Witten, Nucl.Phys.B234 269 (1983)
- The structure of gauge and gravitational anomalies, lvarez-Gaum, Luis and Ginsparg, Paul, Ann. Phys., 161, 423 (1985)
- Heterotic and Type I String Dynamics from Eleven Dimensions, Petr Horava, Edward Witten, http://arxiv.org/abs/hep-th/9510209 hep-th/9510209 (27 p.)
- Eleven-Dimensional Supergravity on a Manifold with Boundary, Petr Horava, Edward Witten, http://arxiv.org/abs/hep-th/9603142 hep-th/9603142 (28 p.)
- On Flux Quantization In M-Theory And The Effective Action, Witten, http://arxiv.org/abs/hep-th/9609122 hep-th/9609122 (17 p.)
- Lectures on Anomalies, Adel Bilal, http://arxiv.org/abs/0802.0634 arXiv:0802.0634 (108 p.)
- TASI 2003 Lectures on Anomalies, Jeffrey A. Harvey, http://arxiv.org/abs/hep-th/0509097 hep-th/0509097 (59 p.)
Supersymmetry
- Introduction to Supersymmetry---<a>Joseph D. Lykken. 67pp. http://arxiv.org/abs/hep-th/9612114v1 arXiv:hep-th/9612114v1
- http://www.physics.uc.edu/~argyres/661/index.html Introduction to Global Supersymmetry---P. Argyres
Spinors in physics
- Clifford algebras in physics--M. Rausch de Traubenberg http://arxiv.org/abs/hep-th/0506011 hep-th/0506011
D-branes
- http://www.netherrealm.net/~sheer/uva/master_thesis/thesis_main.pdf D-branes and string topology
- D-Branes And K-Theory -- Witten, 44p 1998 http://arxiv.org/abs/hep-th/9810188 hep-th/9810188
- D-Branes on Calabi-Yau Manifolds--P.S. Aspinwall http://arxiv.org/abs/hep-th/0403166 hep-th/0403166 (132 p.)
- Lectures on D-branes and Sheaves--E. Sharpe, http://arxiv.org/abs/hep-th/0307245 hep-th/0307245 (87 p.)
- Tasi lectures on D-branes--Polchinski, http://arxiv.org/pdf/hep-th/9611050 hep-th/9611050 (63 p.)
Topological strings
- some lectures/klemm topstrings.pdf Topological strings--Klemm
- Phases of N=2 theories in two-dimensions--Witten. 93pp.http://arxiv.org/pdf/hep-th/9301042 hep-th/9301042
- some lectures/counting curves in topological string theory.ps Counting curves in topological string theory--Lotte Hollands' master thesis
- some lectures/Notes on Topological String Theory and 2D Gravity.pdf Notes on Topological String Theory and 2D Gravity--Dijkgraaf. 1990
- Mirror Manifolds And Topological Field Theory--Witten, 1991, http://arxiv.org/abs/hep-th/9112056 hep-th/9112056
- Intersection Theory, Integrable Hierarchies and Topological Field Theory-- Dijkgraaf, http://arxiv.org/abs/hep-th/9201003 hep-th/9201003 (73 p.)
- Mirror Symmetry--Hori and Vafa, http://arxiv.org/abs/hep-th/0002222 hep-th/0002222
- http://cdsagenda5.ictp.trieste.it/full_display.php?ida=a01134 Lectures on mirror symmetry--Hori
- Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes-- M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, 1993, http://arxiv.org/abs/hep-th/9309140 hep-th/9309140 (178 p.)
- Topological strings and their physical applications--A. Neitzke, C. Vafa, http://arxiv.org/abs/hep-th/0410178 hep-th/0410178 (82 p.)
- Lectures on on Black Holes, Topological Strings and Quantum Attractors--B. Pioline, http://arxiv.org/abs/hep-th/0607227 hep-th/0607227 (90 p.)
- A mini-course on topological strings--M. Vonk, http://arxiv.org/abs/hep-th/0504147 hep-th/0504147
String compactification
- Recent developments in heterotic compactifications--E. Sharpe, http://arxiv.org/abs/0801.4080 arXiv: 0801.4080 (24 p.)
- Lectures on Nongeometric Flux Compactifications--Brian Wecht, http://arxiv.org/abs/0708.3984 arXiv:0708.3984v1 (31 p.)
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes--Ralph Blumenhagen, Boris Kors, Dieter Lust, Stephan Stieberger, http://arxiv.org/abs/hep-th/0610327 hep-th/0610327 (331 p.)
- Flux Compactification-- Michael R. Douglas, Shamit Kachru, http://arxiv.org/abs/hep-th/0610102 hep-th/0610102 (66 p.)
- Flux compactifications in string theory: a comprehensive review-- Mariana Graña, http://arxiv.org/abs/hep-th/0509003 hep-th/0509003 (85 p.)
Gauge theory and Supersymmetric gauge theory
- some lectures/park's thesis.ps Park's PhD thesis: Cohomological field theory on complex manifolds
- Lectures on Instantons---S.. Vandoren, P. van Nieuwenhuizen. http://arxiv.org/abs/0802.1862 hep-th/0802.1862 (118 p.)
- The Calculus of Many Instantons--- Nick Dorey, Timothy J. Hollowood, Valentin V. Khoze, Michael P. Mattis http://arxiv.org/abs/hep-th/0206063 hep-th/0206063
- Lectures on supersymmetric Yang-Mills theory and integrable systems -- D'Hoker, Phong: 125p http://arxiv.org/abs/hep-th/9912271 hep-th/9912271
- Electric-Magnetic Duality And The Geometric Langlands Program---Anton Kapustin, Edward Witten Apr 2006. 225pp. http://arxiv.org/pdf/hep-th/0604151
- some lectures/leuvenLectures on Four-Manifolds and Topological Gauge Theories.pdf Lectures on four-manifolds and topological gauge theories---Dijkgraaf. 1995.
- Lectures on 2-d Yang-Mills theory, equivariant cohomology and topological field theories---S. Gregory W. Moore, S. Ramgoolam. Nov 1994. 246pp.http://arxiv.org/pdf/hep-th/9411210 hep-th/9411210
- SUSY Yang-Mills Theory And Integrable Systems -- Donagi, Witten 1995, 46p http://arXiv.org/abs/hep-th/9510101 hep-th/9510101
- E - M duality, monopole condensation, and confinement in N=2 SUSY Yang-Mills theory -- Seiberg, Witten, 1994, 44p http://arXiv.org/abs/hep-th/9407087 hep-th/9407087
- Monopoles, duality and chiral sym breaking in N=2 SUSY QCD -- Seiberg, Witten, 1994, 88p, http://arXiv.org/abs/hep-th/9408099 hep-th/9408099
- Monopoles and four manifolds -- Witten, 1994, 29p, http://arXiv.org/abs/hep-th/9411102 hep-th/9411102
- Introduction to S-Duality in N=2 Supersymmetric Gauge Theory (A pedagogical review of Seiberg Witten Theory )-- Alvarez-Gaume, Hassan, 1997, 81p http://arXiv.org/abs/hep-th/9701069 hep-th/9701069
- Lectures on supersymmetric gauge theories and electric-magnetic duality -- Intriligator, Seiberg, 1995, 44p http://arxiv.org/abs/hep-th/9509066
- Magnetic Monopoles, Duality, and Supersymmetry---Jeffrey A. Harvey, 1996, http://arxiv.org/abs/hep-th/9603086 hep-th/9603086
- Supersymmetric Gauge Theories and the AdS/CFT Correspondence---Eric D'Hoker, Daniel Z. Freedman, 2002, http://arxiv.org/abs/hep-th/0201253 hep-th/0201253 (145 p.)
- Introduction to Seiberg-Witten Theory and its Stringy Origin--- W. Lerche, 1996, http://arxiv.org/abs/hep-th/9611190 hep-th/9611190 (37 p.)
- Seiberg-Witten theory and random partitions---Nekrasov, Okounkov, 2003, http://arxiv.org/pdf/hep-th/0306238 hep-th/0306238 (90 p.)
- Seiberg-Witten prepotential from instanton counting---Nekrasov, 2002, http://arxiv.org/pdf/hep-th/0206161 hep-th/0206161 (33 p.)
- http://www.physics.uc.edu/~argyres/661/index.html Non-perturbative dynamics of four-dimensional supersymmetric field theories---P. Argyres
- Solutions Of Four-Dimensional Field Theories Via M Theory---Witten, 1997, http://arxiv.org/abs/hep-th/9703166 hep-th/9703166 (43 p.)
- On certain aspects of string theory/gauge theory correspondence---Sergey Shadchin's PhD thesis, 2005, http://arxiv.org/abs/hep-th/0502180 hep-th/0502180 (174 p.)
- some lectures/masterthesis on Seiberg-Witten theory and instanton counting.pdf Seiberg-Witten theory and instanton counting---Yuji Tachikawa's master thesis
- Quantization of the Hitchin moduli spaces, Liouville theory, and the geometric Langlands correspondence I-- J. Teschner, http://arxiv.org/abs/1005.2846 arXiv:1005.2846
Quiver Gauge theory, String Phenomenology And Intersecting Branes
- Brane Tilings---Kristian D. Kennaway, http://arxiv.org/abs/0706.1660 arXiv:0706.1660 (63 p.)
- Brane Tilings and Their Applications--- Masahito Yamazaki, http://arxiv.org/abs/0803.4474 arXiv:0803.4474, (208 p.)
- Brane Dimers and Quiver Gauge Theories---Sebastian Franco, Amihay Hanany, Kristian D. Kennaway, David Vegh, Brian Wecht, http://arxiv.org/abs/hep-th/0504110 hep-th/0504110, (56 p.)
- Dimer models and toric diagrams---Amihay Hanany, Kristian D. Kennaway, http://arxiv.org/abs/hep-th/0503149 hep-th/0503149, (26 p.)
- D-branes, Quivers, and ALE Instantons---Michael R. Douglas, Gregory Moore, http://arxiv.org/abs/hep-th/9603167 hep-th/9603167 (50 p.)
- D-branes at Singularities and String Phenomenology---Dmitry Malyshev, Herman Verlinde, http://arxiv.org/abs/0711.2451 arXiv:0711.2451 (24 p.)
- Quantum Curves and D-Modules---Robbert Dijkgraaf, Lotte Hollands, Piotr Sułkowski, http://arxiv.org/abs/0810.4157 arXiv: 0810.4157 (63 p.)
- Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions---Robbert Dijkgraaf, Lotte Hollands, Piotr Sulkowski, Cumrun Vafa, http://arxiv.org/abs/0709.4446 arXiv:0709.4446 (67 p.)
Wall-Crossing
- Wall-crossing, Hitchin Systems, and the WKB Approximation---GMN, http://arxiv.org/pdf/0907.3987 arXiv:0907.3987 (179 p.)
- Wall crossing in local Calabi Yau manifolds---Daniel L. Jafferis, Gregory W. Moore, http://arxiv.org/pdf/0810.4909 arXiv:0810.4909 (21 p.)
- Four-dimensional wall-crossing via three-dimensional field theory---GMN, http://arxiv.org/pdf/0807.4723 arXiv:0807.4723 (62 p.)
- Split states, entropy enigmas, holes and halos---Denef, Moore, http://arxiv.org/pdf/hep-th/0702146 hep-th/0702146 (149 p.)
- Supergravity flows and D-brane stability---Denef, http://arxiv.org/pdf/hep-th/0005049 hep-th/0005049 (41 p.)
- On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications---Denef, http://arxiv.org/pdf/hep-th/0010222 hep-th/0010222 (26 p.)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations---KS, <a title="Abstract" href="http://arxiv.org/abs/0811.2435 arXiv:0811.2435 (148 p.)
- Motivic Donaldson-Thomas invariants: summary of results---KS, <a title="Abstract" href="http://arxiv.org/abs/0910.4315 arXiv:0910.4315
- Wall Crossing and M-theory---/spires/find/wwwhepau/wwwscan?rawcmd=fin+%22Aganagic%2C%20Mina%22 Mina Aganagic , /spires/find/wwwhepau/wwwscan?rawcmd=fin+%22Ooguri%2C%20Hirosi%22 Hirosi Ooguri, /spires/find/wwwhepau/wwwscan?rawcmd=fin+%22Vafa%2C%20Cumrun%22 Cumrun Vafa, /spires/find/wwwhepau/wwwscan?rawcmd=fin+%22Yamazaki%2C%20Masahito%22 Masahito Yamazaki, http://arxiv.org/pdf/0908.1194 arXiv:0908.1194
Duality
- Les Houches Lectures on Fields, Strings and Duality-- Dijkgraaf: 152p http://arxiv.org/abs/hep-th/9703136 hep-th/9703136
- An Introduction to Non-perturbative String Theory--A. Sen, http://arxiv.org/abs/hep-th/9802051 hep-th/9802051 (129 p.)
Black holes
- What Exactly is the Information Paradox?--S.D. Mathur, http://arxiv.org/abs/0803.2030 hep-th/0803.2030 (43 p.)
- Lectures on on Black Holes, Topological Strings and Quantum Attractors--B. Pioline, http://arxiv.org/abs/hep-th/0607227 hep-th/0607227 (90 p.)
- TASI Lectures on Black Holes in String Theory--A.W. Peet, http://arxiv.org/abs/hep-th/0008241 hep-th/0008241 (80 p.)
- Cargese lectures on string theory with eight supercharges--Monica Guica, Andrew Strominger, http://arxiv.org/abs/0704.3295 arxiv: 0704.3295
- Fields, Strings, Matrices and Symmetric Products--Dijkgraaf, http://arxiv.org/abs/hep-th/9912104 hep-th/9912104
Attractor
- Arithmetic and attractors--G. Moore, http://arxiv.org/pdf/hep-th/9807087 hep-th/9807087
- Les Houches Lectures on Strings and Arithmetic--G. Moore, 2003, http://arxiv.org/abs/hep-th/0401049 hep-th/0401049 (61 p.)
- String Theory Effects on Five-Dimensional Black Hole Physics-- Per Kraus, http://arxiv.org/pdf/0801.1863 arXiv:0801.1863 (85 p.)
- Lectures on black holes and the AdS(3) / CFT(2) correspondence---Per Kraus, http://arxiv.org/pdf/hep-th/0609074 hep-th/0609074 (91 p.)
- Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity, Moore et. al. http://arxiv.org/pdf/0805.4216 arXiv:0805.4216 (43 p.)
- A Modern Farey Tail, Manschot and Moore, http://arxiv.org/pdf/0712.0573 arXiv:0712.0573 (53 p.)
AdS/CFT
- Introduction to AdS/CFT--H. Nastase, http://arxiv.org/abs/0712.0689 hep-th/0712.0689 (133 p.)
- TASI 2003 Lectures on AdS/CFT--J.M. Maldacena, http://arxiv.org/abs/hep-th/0309246 hep-th/0309246 (46 p.)
- Large N Field Theories, String Theory and Gravity--O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, Y. Oz, http://arxiv.org/abs/hep-th/9905111 hep-th/9905111 (261 p.)
- Supersymmetric Gauge Theories and the AdS/CFT Correspondence---Eric D'Hoker, Daniel Z. Freedman, 2002, http://arxiv.org/abs/hep-th/0201253 hep-th/0201253 (145 p.)
- TASI Lectures: Introduction to the AdS/CFT Correspondence--- Igor R. Klebanov, http://arxiv.org/abs/hep-th/0009139 hep-th/0009139 (36 p.)
Integrable system
- Three Lectures on Classical Integrable Systems and Gauge Field Theories--M.Olshanetsky, http://arxiv.org/abs/0802.3857 hep-th/0802.3857 (36 p.)
- Introduction to Classical Integrable Systems---O. Babelon, D. Bernard and M. Talon (cambridge monographs on mathematical physics, book)
- Monopoles, minimal surfaces and algebraic curves---Hitchin, N. (book)
- Integrable Systems: twistors, loop groups, and Riemann surfaces---Hitchin, Segal, and Ward(book)
- some lectures/motivation-of-the-bethe.pdf The Bethe Ansatz---Faddeev
CFT
- Monstrous Moonshine and the Classification of CFT--T. Gannon, http://arxiv.org/abs/math.QA/9906167 math.QA/9906167 (65 p.)
- Conformal field theory: a case study--Krzysztof Gawedzki, http://arxiv.org/abs/hep-th/9904145 hep-th/9904145
- Affine Kac-Moody Algebras and the Wess-Zumino-Witten Model--Mark Walton, http://arxiv.org/abs/hep-th/9911187 hep-th/9911187 (68 p.)
- Lectures on conformal field theory and Kac-Moody algebras--Juergen Fuchs, http://arxiv.org/pdf/hep-th/9702194 hep-th/9702194 (59 p.)
- Classical and Quantum Conformal Field Theory--G.Moore and N. Seiberg, Commun. Math. Phys. 123, 177-254 (1989)
- The analytic geometry of two-dimensional conformal field theory--Friedan and Shenker, Nucl. Phys. B 281, 509 (1987)
- Infinite conformal symmetry in two dimensional quantum field theory--Belavin, Polyakov and Zamolodchikov, NPB 241, 33 (1984)
Mathematical physics
- Introduction to the Gopakumar-Vafa Large N Duality--D. Auckly, S. Koshkin, http://arxiv.org/abs/math.GT/0701568 math.GT/0701568 (260 p.)
- Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory--N.M. Nikolov, I.T. Todorov, http://arxiv.org/abs/math-ph/0412039 math-ph/0412039 (87 p.)
- Surface Operators and Knot Homologies--S. Gukov, http://arxiv.org/abs/0706.2369 hep-th/0706.2369 (37 p.)
- A Brief Review of Supersymmetric Non-linear Sigma Models and Generalized Complex Geometry--U. Lindström, http://arxiv.org/abs/hep-th/0603240 hep-th/0603240 (16 p.)
- Lectures on the Langlands Program and Conformal Field Theory--E. Frenkel, http://arxiv.org/abs/hep-th/0512172 hep-th/0512172 (128 p.)
- Lecture Notes on Equivariant Cohomology--Matvei Libine, 2007, http://arxiv.org/abs/0709.3615 arXiv:0709.3615
- Les Houches Lectures on Strings and Arithmetic--G. Moore, 2003, http://arxiv.org/abs/hep-th/0401049 hep-th/0401049 (61 p.)
- Supersymmetric Quantum Theory, Non-commutative Geometry, and Gravitation--J. Froehlich, O. Grandjean, A. Recknagel, http://arxiv.org/abs/hep-th/9706132 hep-th/9706132 (143 p.)
- Arithmetic and attractors--G. Moore, http://arxiv.org/pdf/hep-th/9807087 hep-th/9807087
- Elliptic genera of symmetric products and second quantized strings-- R. Dijkgraaf, G. Moore, et. al. http://arxiv.org/PS_cache/hep-th/pdf/9608/9608096v2.pdf hep-th/9608096
- Generalized Calabi-Yau manifolds---N. Hitchin, http://arxiv.org/abs/math.dg/0209099 math.dg/0209099 (37 p.)
- Fields, Strings, Matrices and Symmetric Products--Dijkgraaf, http://arxiv.org/abs/hep-th/9912104 hep-th/9912104
- http://aesop.phys.utk.edu/strings/Notes of Pochinski's string books
- http://www.ift.uam.es/paginaspersonales/angeluranga Graduate Course in String Theory by Angel M. Uranga
Math
- http://www.math.columbia.edu/~woit/RepThy/ Peter's lectures on the representation theory
- some lectures/hyperkahler.pdf A good lecture on hyperkahler geometry
- some lectures/geometrynotes.pdf Topics in differential geometry
- some lectures/Majorana.pdf Spinors (math)
- http://www.fc.up.pt/cmup/pbgothen/Higgs_Bundles_CIEM_200802.pdf Higgs bundles
- http://math.ucr.edu/home/baez/joris_van_hoboken_platonic.pdf Platonic solids,Kleinian singularities and ADE
- some lectures/the topology of fiber bundles by Cohen.pdf The topology of fibre bundles
- some lectures/survey on elliptic cohomology.pdf Surveys on elliptic cohomology--Jacob Luries
- some lectures/Borel-Weil-Bott theorem .pdf Borel-Weil-Bott Theorem--Jacob Luries
- some lectures/coxeter.pdf Coxeter numbers--Hori's lecture
- some lectures/modular form.pdf Modular forms, Hecke Operators, and Modular Abelian Varieties--K. Ribet and W. Stein
- <a onmousedown="return clk(this.href,,,'res','5',)" href="some lectures/notes on the index theorom.pdf Notes on the Atiyah-Singer Index Theorem--Liviu I. Nicolaescu
- http://www.math.sunysb.edu/~jge/zeng/g_h.pdf Griffith & Harris' "Principles of Algebraic Geometry" chinese version
Geometry Conference in honour of Nigel Hitchin
- http://www.mat.csic.es/webpages/conf/hitchin2006/index.html
- some lectures/bourguignon--Open problems in Differential Geometry.pdf Open problems in Differential Geometry
- some lectures/beauville---Open problems in Algebraic Geometry .pdf Open problems in Algebraic Geometry
- some lectures/figueroa-ofarrill.pdf Open problems in Mathematical Physics
- some lectures/atiyah--hitchin.pdf Hitchin's contribution