Journal
ADVANCES IN MATHEMATICS
Volume 314, Issue -, Pages 48-70Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2017.04.030
Keywords
Orientability; Moduli spaces of sheaves; Calabi-Yau manifolds; Shifted symplectic structures; Gauge theory; Dirac operators
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Funding
- Research Grants Council of the Hong Kong Special Administrative Region, China [CUHK401411, CUHK14302714]
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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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