K theoretic virtual fundamental cycle of global Kuranishi chart

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}.

Modified construction so that the virtual fundamental cycle lives in the virtual orbifold (rather than base space of global chart);21 pages; comments welcome!