4.6 Article

Orientability for gauge theories on Calabi-Yau manifolds

Journal

ADVANCES IN MATHEMATICS
Volume 314, Issue -, Pages 48-70

Publisher

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

Categories

Funding

  1. 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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