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Cosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds
Published 28 Jul 2020 in math.AG and math.DG | (2007.14023v2)
Abstract: We establish cosection localization and vanishing results for virtual fundamental classes of derived manifolds, combining the theory of derived differential geometry by Joyce with the theory of cosection localization by Kiem-Li. As an application, we show that the stable pair invariants of hyperk\"{a}hler fourfolds, defined by Cao-Maulik-Toda, are zero.
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