Cosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds
Algebraic Geometry
2022-02-23 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2007.14023,
title = {Cosection Localization and Vanishing for Virtual Fundamental Classes of D-Manifolds},
author = {Michail Savvas},
journal= {arXiv preprint arXiv:2007.14023},
year = {2022}
}
Comments
29 pages; results and exposition improved. Published version