Localizing Virtual Cycles by Cosections

Details Localizing Virtual Cycles by Cosections Localizing Virtual Cycles by Cosections

2010-07-19

arxiv.org/abs/1007.3085v2

Mathematics

Algebraic Geometry

This paper replaces the first half of our previous manuscript entitled "Gromov-Witten invariants of varieties with holomorphic

Scientific paper

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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