Volume 11, issue 3 (2007)

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Topological conformal field theories and gauge theories

Kevin Costello

Geometry & Topology 11 (2007) 1539–1579
Bibliography
1 M Alexandrov, M Kontsevich, A Schwarz, O Zabronovsky, Geometry of the master equation and topological field theory, arXiv:hep-th/9502010
2 S Axelrod, I M Singer, Chern–Simons perturbation theory, from: "Proceedings of the XXth International Conference on Differential Geometric Methods in Theoretical Physics, Vol 1, 2 (New York, 1991)", World Sci. Publ., River Edge, NJ (1992) 3 MR1225107
3 A Cattaneo, P Cotta-Ramusino, F Fucito, M Martellini, M Rinaldi, A Tanzini, M Zeni, Four-dimensional Yang–Mills theory as a deformation of topological BF theory, arXiv:hep-th/9705123
4 K Costello, A dual point of view on the ribbon graph decomposition of moduli space, arXiv:math.GT/0601130
5 K Costello, Topological conformal field theories and Calabi–Yau categories, arXiv:math.QA/0412149
6 S K Donaldson, R P Thomas, Gauge theory in higher dimensions, from: "The geometric universe (Oxford, 1996)", Oxford Univ. Press (1998) 31 MR1634503
7 P B Gilkey, Invariance theory, the heat equation, and the Atiyah–Singer index theorem, Studies in Advanced Mathematics, CRC Press (1995) MR1396308
8 H Kajiura, Noncommutative homotopy algebras associated with open strings, arXiv:math.QA/0306332
9 R M Kauffmann, Moduli space actions on the Hochschild cochains of a Frobenius algebra, arXiv:math.AT/060606
10 M Kontsevich, Feynman diagrams and low-dimensional topology, from: "First European Congress of Mathematics, Vol II (Paris, 1992)", Progr. Math. 120, Birkhäuser (1994) 97 MR1341841
11 M Kontsevich, Talk at the Hodge Centennial conference, Edinburgh (2003)
12 M Kontsevich, Talks at University of Miami (2004)
13 M Kontsevich, Y Soibelman, Homological mirror symmetry and torus fibrations, from: "Symplectic geometry and mirror symmetry (Seoul, 2000)", World Sci. Publ., River Edge, NJ (2001) 203 MR1882331
14 M Kontsevich, Y Soibelman, Notes on A–infinity algebras, A–infinity categories and noncommutative geometry I, (2006)
15 C C M Liu, Moduli of $J$–holomorphic curves with Lagrangian boundary conditions and open Gromov–Witten invariants for an $S^1$–equivariant pair, arXiv:math.SG/0210257
16 E Looijenga, Intersection theory on Deligne–Mumford compactifications (after Witten and Kontsevich), Astérisque (1993) 4, 187 MR1246398
17 M Markl, Transferring $A_{\infty}$ (strongly associative) structures, arXiv:math.AT/0401007
18 M Martellini, M Zeni, The BF formalism for Yang–Mills theory and the t'Hooft algebra, arXiv:hep-th/9610090
19 S A Merkulov, Strong homotopy algebras of a Kähler manifold, Internat. Math. Res. Notices (1999) 153 MR1672242
20 A Schwarz, Geometry of Batalin–Vilkovisky quantisation, arXiv:hep-th/9205088
21 A Schwarz, A model and generalised Chern–Simons, arXiv:hep-th/0501119
22 A Sen, B Zwiebach, Background independent algebraic structures in closed string field theory, Comm. Math. Phys. 177 (1996) 305 MR1384137
23 R P Thomas, A holomorphic Casson invariant for Calabi–Yau 3–folds, and bundles on $K3$ fibrations, J. Differential Geom. 54 (2000) 367 MR1818182
24 T Tradler, M Zeinalian, Algebraic string operations, arXiv:math.QA/0605770
25 E Witten, Chern–Simons gauge theory as a string theory, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 637 MR1362846
26 E Witten, Perturbative gauge theory as a string theory in twistor space, Comm. Math. Phys. 252 (2004) 189 MR2104879
27 B Zwiebach, Oriented open-closed string theory revisited, Ann. Physics 267 (1998) 193 MR1638333