论文标题

d-manifolds的虚拟基本类别的集合本地化和消失

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

论文作者

Savvas, Michail

论文摘要

我们为派生的流形的虚拟基本类别建立了共识的本地化和消失的结果,将乔伊斯的衍生差异几何学理论与KIEM-LI的“共同理论定位”相结合。作为一种应用,我们表明,由Cao-Maulik-toda定义的Hyperkähler四倍的稳定对不变型为零。

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.

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