Localizing Virtual Cycles by Cosections

Published 19 Jul 2010 in math.AG | (1007.3085v2)

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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