A RELATION FOR GROMOV-WITTEN INVARIANTS OF LOCAL CALABI-YAU THREEFOLDS

被引：0

作者：

Lau, Siu-Cheong ^{[1
]}

Leung, Naichung Conan ^{[2
]}

Wu, Baosen ^{[3
]}

机构：

[1] Univ Tokyo, Inst Phys & Math Universe, Tokyo 1138654, Japan

[2] Chinese Univ Hong Kong, Inst Math Sci, Unit 506, Shatin, Hong Kong, Peoples R China

[3] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2011年 / 18卷 / 05期

关键词：

Gromov-Witten invariants; flop; toric Calabi-Yau; MIRROR SYMMETRY; MANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute certain open Gromov-Witten invariants for toric Calabi-Yau threefolds. The proof relies on a relation for ordinary Gromov-Witten invariants for threefolds under certain birational transformation, and a recent result of Kwokwai Chan.

引用

页码：943 / 956

页数：14

共 19 条

[1]

Auroux D., 2009, Geometry, analysis, and algebraic geometry: forty years of the Journal of Differential Geometry, Surv. Differ. Geom., V13, P1, DOI [10.4310/SDG.2008.v13.n1.a1, DOI 10.4310/SDG.2008.V13.N1.A1]

[2]

Auroux D., 2007, J. Gkova Geom. Topol, V1, P51

[3]

Chan K.-W., J DIFFERENT IN PRESS

[4] Mirror symmetry for toric Fano manifolds via SYZ transformations [J].

Chan, Kwokwai ;

Leung, Naichung Conan .

ADVANCES IN MATHEMATICS, 2010, 223 (03) :797-839

[5]

Chiang T.-M., 1999, Adv. Theor. Math. Phys., V3, P495

[6]

Cho CH, 2006, ASIAN J MATH, V10, P773

[7] Arnold conjecture and Gromov-Witten invariant [J].

Fukaya, K ;

Ono, K .

TOPOLOGY, 1999, 38 (05) :933-1048

[8]

Fukaya K, 2009, AMS/IP Stud. Adv. Math., V46

[9]

Fukaya K., ARXIV10021660

[10] LAGRANGIAN FLOER THEORY ON COMPACT TORIC MANIFOLDS, I [J].

Fukaya, Kenji ;

Oh, Yong-Geun ;

Ohta, Hiroshi ;

Ono, Kaoru .

DUKE MATHEMATICAL JOURNAL, 2010, 151 (01) :23-174

← 1 2 →