Orientability for gauge theories on Calabi-Yau manifolds

被引：28

作者：

Cao, Yalong ^{[1
]}

Leung, Naichung Conan

机构：

[1] Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2017年 / 314卷

关键词：

Orientability; Moduli spaces of sheaves; Calabi-Yau manifolds; Shifted symplectic structures; Gauge theory; Dirac operators; DONALDSON-THOMAS THEORY; GROMOV-WITTEN THEORY; MODULI SPACES; SHEAVES;

D O I：

10.1016/j.aim.2017.04.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study orientability issues of moduli spaces from gauge theories on Calabi-Yau manifolds. Our results generalize and strengthen those for Donaldson Thomas theory on Calabi -Yau manifolds of dimensions 3 and 4. We also prove a corresponding result in the relative situation which is relevant to the gluing formula in DT theory. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：48 / 70

页数：23

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