Orientability for gauge theories on Calabi-Yau manifolds

被引：29
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.
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页码：48 / 70
页数：23
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