Localization by 2-periodic complexes and virtual structure sheaves
Algebraic Geometry
2019-09-27 v1 Mathematical Physics
K-Theory and Homology
math.MP
Abstract
B. Kim and the first author proved a result comparing the virtual fundamental classes of the moduli spaces of stable quasimaps and stable LG-quasimaps by studying localized Chern characters for 2-periodic complexes. In this paper, we study a K-theoretic analogue of the localized Chern character map and show that for a Koszul 2-periodic complex it coincides with the cosection localized Gysin map by Y.-H. Kiem and J. Li. As an application we compare the virtual structure sheaves of the moduli space of stable quasimaps and stable LG-quasimaps.
Cite
@article{arxiv.1909.12164,
title = {Localization by 2-periodic complexes and virtual structure sheaves},
author = {Jeongseok Oh and Bhamidi Sreedhar},
journal= {arXiv preprint arXiv:1909.12164},
year = {2019}
}
Comments
22 pages