Volume 8 (2006)

Download this article
For screen
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
All Volumes
 
About this Series
Ethics Statement
Purchase Printed Copies
Author Index
ISSN 1464-8997 (online)
ISSN 1464-8989 (print)
 
MSP Books and Monographs
Other MSP Publications

Lagrangians for the Gopakumar–Vafa conjecture

Clifford Henry Taubes

Geometry & Topology Monographs 8 (2006) 73–95

DOI: 10.2140/gtm.2006.8.73

Bibliography
1 M Aganagic, A Klemm, C Vafa, Disk instantons, mirror symmetry and the duality web, Z. Naturforsch. A 57 (2002) 1–28 MR1906661
2 C Faber, R Pandharipande, Hodge integrals and Gromov–Witten theory, Invent. Math. 139 (2000) 173–199 MR1728879
3 A Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988) 513–547 MR965228
4 R Gopakumar, C Vafa, On the gauge theory/geometry correspondence, Adv. Theor. Math. Phys. 3 (1999) 1415–1443 MR1796682
5 M Gromov, Partial differential relations, Ergebnisse series 9, Springer (1986) MR864505
6 S Katz, C C M Liu, Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc, from: "The interaction of finite-type and Gromov-Witten invariants (Banff 2003)", Geom. Topol. Monogr. 8 (2006) 1–48
7 J M F Labastida, M Mariño, Polynomial invariants for torus knots and topological strings, Comm. Math. Phys. 217 (2001) 423–449 MR1821231
8 J M F Labastida, M Mariño, C Vafa, Knots, links and branes at large N, J. High Energy Phys. (2000) 42 MR1806596
9 J Li, Y S Song, Open string instantons and relative stable morphisms, from: "The interaction of finite-type and Gromov-Witten invariants (Banff 2003)", Geom. Topol. Monogr. 8 (2006) 49–72
10 H Ooguri, C Vafa, Knot invariants and topological strings, Nuclear Phys. B 577 (2000) 419–438 MR1765411
11 P Ramadevi, T Sarkar, On link invariants and topological string amplitudes, Nuclear Phys. B 600 (2001) 487–511 MR1833409
12 G 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B72 (1974) 461–473
13 E Witten, Chern–Simons gauge theory as a string theory, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 637–678 MR1362846