K theoretic virtual fundamental cycle of global Kuranishi chart
Symplectic Geometry
2025-02-12 v2
Abstract
In this paper, we define the virtual fundamental cycle of a global Kuranishi chart as an element in the (analytic) orbispace K-homology of the virtual orbifold and verify that it defines the same invariants as those in \cite{Abouzaid23}.
Keywords
Cite
@article{arxiv.2411.06057,
title = {K theoretic virtual fundamental cycle of global Kuranishi chart},
author = {Dun Tang},
journal= {arXiv preprint arXiv:2411.06057},
year = {2025}
}
Comments
Modified construction so that the virtual fundamental cycle lives in the virtual orbifold (rather than base space of global chart);21 pages; comments welcome!