Virtual intersection theories
Algebraic Geometry
2021-06-16 v2
Abstract
We construct virtual fundamental classes in all intersection theories including Chow theory, K-theory and algebraic cobordism for quasi-projective Deligne-Mumford stacks with perfect obstruction theories and prove the virtual pullback formula, the virtual torus localization formula and cosection localization principle.
Keywords
Cite
@article{arxiv.1908.03340,
title = {Virtual intersection theories},
author = {Young-Hoon Kiem and Hyeonjun Park},
journal= {arXiv preprint arXiv:1908.03340},
year = {2021}
}
Comments
45 pages, to appear in Advances in Mathematics