Localizing virtual cycles by cosections

Kiem, Young-Hoon¹ ; Li, Jun²

¹ Department of Mathematics and Research Institute of Mathematics, Seoul National University, Seoul 151-747, Korea
² Department of Mathematics, Stanford University, Stanford, California 94305

Journal of the American Mathematical Society, Tome 26 (2013) no. 4, pp. 1025-1050

Résumé

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 construct a localized Gysin map and localized virtual cycles. Various applications of this construction are discussed.

Détail

DOI : 10.1090/S0894-0347-2013-00768-7

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