Localizing virtual fundamental cycles for semi-perfect obstruction theories

Autor:	Kiem, Young-Hoon
Rok vydání:	2016
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	Recently H.-L. Chang and J. Li generalized the theory of virtual fundamental class to the setting of semi-perfect obstruction theory. A semi-perfect obstruction theory requires only the local existence of a perfect obstruction theory with compatibility conditions. In this paper, we generalize the torus localization, the cosection localization and their combination, to the setting of semi-perfect obstruction theory. As an application, we show that the Jiang-Thomas theory of virtual signed Euler characteristic works without the technical quasi-smoothness assumption from derived algebraic geometry. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1611.02342 Zobrazit plný text záznamu View this record from Arxiv