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Paper detail

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

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 hyperkähler fourfolds, defined by Cao-Maulik-Toda, are zero.

preprint2022arXivOpen access
Michail Savvas
math.AGmath.DG
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Michail Savvas

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