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arXiv · 1007.3085

Localizing Virtual Cycles by Cosections

Young-Hoon Kiem·Jun Li
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Abstract

We show that a cosection of the obstruction sheaf of a perfect obstruction theory localizes the virtual cycle to the non-surjective locus of the cosection. We give algebraic constructions of localized Gysin maps and localized virtual cycles. Various applications of these constructions are discussed.

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Young-Hoon Kiem, Jun Li. 2010-08-07. Localizing Virtual Cycles by Cosections. https://arxiv.org/abs/1007.3085

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