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arXiv · 2007.14023

Cosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds

Michail Savvas
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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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Michail Savvas. 2020-07-28. Cosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds. https://doi.org/10.1016/j.aim.2022.108232

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