Hamiltonian Gromov-Witten invariants

Topology

Volumn 42, Issue 3, 2003, Pages 525-553

  Mundet i Riera, Ignasi ^a,b  

^a CENTRE DE MATHÉMATIQUES LAURENT SCHWARTZ   (France)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Gromov Witten invariants; Hamiltonian actions

Indexed keywords

EID: 0037782084     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(02)00023-X     Document Type: Article

References (27)

1. Aronszajn N. A unique continuation theorem for elliptic differential equations or inequalities of the second order J. Math. Pures Appl. 36 1957 235-239
2. Atiyah M. Bott R. A Lefschetz fixed point formula for elliptic complexes II Ann. Math. 88 1968 451-491
3. Banfield D. Stable pairs and principal bundles Quart. J. Math. 51 2000 417-436
4. Berline, N. Getzler, E. Vergne, M. Heat Kernels and Dirac Operators, Grundlehren der mathematischen Wissenschaften, Vol. 298, Springer, Berlin.
5. Bertram A. Daskalopoulos G. Wentworth R. Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians J. Amer. Math. Soc. 9 2 1996 529 571 alg-geom/9306005
6. Cieliebak K. Gaio A.R. Salamon D. J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions Internat. Math. Res. Notices 16 2000 831-882
7. Freed D. Uhlenbeck K. Instantons and Four Manifolds 1984 MSRI Publications 1, Springer New York
8. Fukaya K. Ono K. Arnold conjecture and Gromov-Witten invariant Topology 38 5 1999 933-1048
9. Gaio, A.R. J-holomorphic curves and moment maps, Ph.D. Thesis, University of Warwich, December 1999.
10. García-Prada O. A direct existence proof for the vortex equations over a compact Riemann surface Bull. London Math. Soc. 26 1994 88-96
11. Givental A. Kim B. Quantum cohomology of flag manifolds and Toda lattices Comm. Math. Phys. 168 3 1995 609-641
12. Gromov M. Pseudo-holomorphic curves in symplectic manifolds Invent. Math. 82 1985 307-347
13. Guillemin V. Lerman E. Sternberg S. Symplectic Fibrations and Multiplicity Diagrams 1996 Cambridge University Press Cambridge
14. Ivashkovich S. Shevchishin V. Gromov compactness theorem for J-complex curves with boundary Int. Math. Res. Notices 22 2000 1167-1206
15. Kazdan J.L. Warner F.W. Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures Ann. Math. 101 2 1975 317-331
16. J. Li, G. Tian, Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds, in: R.J. Stern (Ed.), Topics in Symplectic 4-Manifolds, Irvine, CA, 1996, First International Press Lecture Series, I, International Press, Cambridge, MA, 1998, pp. 47-83, alg-geom 9608032.
17. McDuff D. Examples of symplectic structures Invent. Math. 89 1987 13-36
18. D. McDuff, D. Salamon, J-Holomorphic Curves and Quantum Cohomology, University Lecture Series 6, American Mathematic Society, Providence, RI.
19. McDuff D. Salamon D. Symplectic Topology 1995 Oxford Science Publications Oxford
20. Mundet I. i Riera, Yang-Mills-Higgs theory for symplectic fibrations, Ph.D. Thesis, UAM (Madrid), April 1999, math/9912150.
21. Mundet i Riera I. A Hitchin-Kobayashi correspondence for Kaehler fibrations J. Reine Angew. Math. 528 2000 41 80 math/9901076
22. Mundet i Riera I. Lifts of smooth group actions to line bundles Bull. London Math. Soc. 33 3 2001 351-361
23. Ruan Y. Topological sigma model and Donaldson type invariants in Gromov theory Duke Math. J. 83 1996 461-500
24. Ruan Y. Virtual neighbourhoods and pseudo-holomorphic curves, Proceedings of Sixth Gökova Geometry-Topology Conference Turk. J. Math. 23 1 1999 161-231 alg-geom 9611021
25. Ruan Y. Tian G. A mathematical theory of quantum cohomology J. Diff. Geom. 42 1995 259-368
26. D. Salamon, Lectures on Floer homology, in: Y.E. Elioshbery, L. Traynor (Eds.), Symplectic Geometry and Topology, Park City, UT, 1997, IAS/Park City Mathematics Series 7, American Mathematical Society, Providence, RI, 1999, pp. 143-229.
27. Siebert, B. Gromov-Witten invariants for general symplectic manifolds, dg-ga 9608005