Localizing virtual fundamental cycles for semi-perfect obstruction theories
Algebraic Geometry
2016-11-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1611.02342,
title = {Localizing virtual fundamental cycles for semi-perfect obstruction theories},
author = {Young-Hoon Kiem},
journal= {arXiv preprint arXiv:1611.02342},
year = {2016}
}
Comments
27 pages