Witten's top Chern class via cosection localization
Algebraic Geometry
2013-03-29 v1 Mathematical Physics
math.MP
Abstract
For a Landau Ginzburg space ([C^n/G],W), we construct the Witten's top Chern classes as algebraic cycles via cosection localized virtual cycles in case all sectors are narrow. We verify all axioms of such classes. We derive an explicit formula of such classes in the free case. We prove that this construction is equivalent to the prior constructions of Polishchuk-Vaintrob, of Chiodo and of Fan-Jarvis-Ruan.
Keywords
Cite
@article{arxiv.1303.7126,
title = {Witten's top Chern class via cosection localization},
author = {Huai-Liang Chang and Jun Li and Wei-Ping Li},
journal= {arXiv preprint arXiv:1303.7126},
year = {2013}
}
Comments
35 pages