Twisted Equivariant Tate K-Theory

Abstract

Starting with a ${\mathbb{C}}^{\ast }$-valued cocycle on the global quotient orbifold $X//G$, we apply transgression techniques for 2-gerbes, as developed by Lupercio and Uribe, to construct a gerbe on the orbifold loop space $\mathcal{L}(X//G)$. This gives a loop based definition of twisted equivariant Tate K-theory for finite groups that conforms to the definition that Luecke provides for compact, connected Lie groups. We relate our construction to Ganter's work on Moonshine and Huan's quasi-elliptic cohomology.

Masters thesis

References in corpus (1)

• Thom Prospectra for Loopgroup representations