Orientability for gauge theories on Calabi-Yau manifolds
Yalong Cao, Naichung Conan Leung
TL;DR
This paper investigates the orientability of moduli spaces in gauge theories on Calabi-Yau manifolds, extending previous results in Donaldson-Thomas theory and addressing gluing problems.
Contribution
It generalizes and strengthens orientability results for moduli spaces in Donaldson-Thomas theory on Calabi-Yau manifolds of various dimensions.
Findings
Established orientability results for moduli spaces in gauge theories on Calabi-Yau manifolds.
Extended these results to relative situations relevant for gluing in DT theory.
Provided new insights into the structure of moduli spaces in higher dimensions.
Abstract
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 problem in DT theory.
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