This is a short survey about our Gromov–Witten invariant theory for noncompact geometrically bounded symplectic manifolds.
Nous présentons dans cette Note la théorie des invariants des variétés symplectiques non compactes, géométriquement bornées.
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Guangcun Lu 1
@article{CRMATH_2004__338_11_885_0, author = {Guangcun Lu}, title = {Gromov{\textendash}Witten invariants of noncompact symplectic manifolds}, journal = {Comptes Rendus. Math\'ematique}, pages = {885--888}, publisher = {Elsevier}, volume = {338}, number = {11}, year = {2004}, doi = {10.1016/j.crma.2004.03.034}, language = {en}, }
Guangcun Lu. Gromov–Witten invariants of noncompact symplectic manifolds. Comptes Rendus. Mathématique, Volume 338 (2004) no. 11, pp. 885-888. doi : 10.1016/j.crma.2004.03.034. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.03.034/
[1] Symplectic rigidity: Lagrangian submanifolds, Holomorphic Curves in Symplectic Geometry, Progr. Math., vol. 117, Birkhäuser, 1994, pp. 271-318
[2] Pseudoholomorphic curves in symplectic manifolds, Invent. Math., Volume 82 (1985), pp. 307-347
[3] Enumeration of rational curves via torus actions (H. Dijkgraaf; C. Faber; G.v.d. Geer, eds.), Moduli Space of Surface, Birkhäuser, Boston, 1995, pp. 335-368
[4] Virtual moduli cycles and Gromov–Witten invariants of general symplectic manifolds, Topic in Symplectic 4-Manifolds, Irvine, CA, 1996, First Int. Press Lect. Ser., vol. I, International Press, Cambridge, MA, 1998, pp. 47-83
[5] Floer homology and Arnold conjecture, J. Differential Geom., Volume 49 (1998), pp. 1-74
[6] Weinstein conjecture and GW invariants, Commun. Contemp. Math., Volume 2 (2000), pp. 405-459
[7] On the equivalence of multiplicative structures in Floer homology and quantum homology, Acta Math. Sinica, Volume 15 (1999), pp. 53-80
[8] Gromov–Witten invariants and rigidity of Hamiltonian loops with compact support on noncompact symplectic manifolds, Commun. Anal. Geom., Volume 9 (2001), pp. 1041-1092
[9] Virtual moduli cycles and Gromov–Witten invariants of noncompact symplectic manifolds (17 June, revised V2, 1 August 2003) | arXiv
[10] Some properties of holomorphic curves in almost complex manifolds, Holomorphic Curves in Symplectic Geometry, Progr. Math., vol. 117, Birkhäuser, 1994, pp. 165-189
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