Enumerative vs.\ symplectic invariants and obstruction bundles
作者： Aleksey Zinger
DOI: 10.4310/JSG.2004.V2.N4.A1
关键词:
摘要: We describe in detail a gluing construction for pseudoholomorphic maps symplectic geometry, including the presence of an obstruction bundle. The main motivation is to try compare and enumerative invariants algebraic manifolds. These descriptions can also be used enumerate rational curves with high-order degeneracies local nature projective spaces.
intlpress.com
sci-hub.st 参考文章(9)
Aleksey Zinger, Enumeration of Genus-Two Curves with a Fixed Complex Structure in ℙ
2 and ℙ
3 Journal of Differential Geometry. ,vol. 65, pp. 341- 467 ,(2003) , 10.4310/JDG/1090511749
Dusa McDuff, Dietmar Salamon, J-Holomorphic Curves and Quantum Cohomology ,(1994)
Joseph Harris, Phillip A Griffiths, Principles of Algebraic Geometry ,(1978)
Clifford Henry Taubes, Self-dual connections on 4-manifolds with indefinite intersection matrix Journal of Differential Geometry. ,vol. 19, pp. 517- 560 ,(1984) , 10.4310/JDG/1214438690
Eleny Ionel, Genus one enumerative invariants in P^n with fixed j invariant arXiv: Algebraic Geometry. ,(1996)
Yongbin Ruan, Gang Tian, A mathematical theory of quantum cohomology Journal of Differential Geometry. ,vol. 42, pp. 259- 367 ,(1995) , 10.4310/JDG/1214457234
Kenji Fukaya, Kaoru Ono, ARNOLD CONJECTURE AND GROMOV–WITTEN INVARIANT Topology. ,vol. 38, pp. 933- 1048 ,(1999) , 10.1016/S0040-9383(98)00042-1
Ronald J. Stern, Topics in symplectic 4-manifolds International Press. ,(1998)
Gang Tian, Jun Li, Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds arXiv: Algebraic Geometry. ,(1996)