Lagrangian Floer theory on compact toric manifolds II: bulk deformations

被引：71

作者：

Fukaya, Kenji ^{[1
]}

Oh, Yong-Geun ^{[2
]}

Ohta, Hiroshi ^{[3
,5
]}

Ono, Kaoru ^{[4
,5
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[3] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

[4] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

[5] Korea Inst Adv Study, Seoul, South Korea

来源：

SELECTA MATHEMATICA-NEW SERIES | 2011年 / 17卷 / 03期

基金：

美国国家科学基金会;

关键词：

Toric manifolds; Floer cohomology; Weakly unobstructed Lagrangian submanifolds; Potential function; Jacobian ring; Bulk deformations; Bulk-balanced Lagrangian submanifolds; Open-closed Gromov-Witten invariant; SUBMANIFOLDS; VARIETIES; HOMOLOGY;

D O I：

10.1007/s00029-011-0057-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a continuation of part I in the series of the papers on Lagrangian Floer theory on toric manifolds. Using the deformations of Floer cohomology by the ambient cycles, which we call bulk deformations, we find a continuum of non-displaceable Lagrangian fibers on some compact toric manifolds. We also provide a method of finding all fibers with non-vanishing Floer cohomology with bulk deformations in arbitrary compact toric manifolds, which we call bulk-balanced Lagrangian fibers.

引用

页码：609 / 711

页数：103

共 32 条

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