Quasi-Elliptic Cohomology and its Power Operations
Algebraic Topology
2018-05-16 v3
Abstract
Quasi-elliptic cohomology is a variant of Tate K-theory. It is the orbifold K-theory of a space of constant loops. For global quotient orbifolds, it can be expressed in terms of equivariant K-theories. In this paper we show how this theory is equipped with power operations. We also prove that the Tate K-theory of symmetric groups modulo a certain transfer ideal classify the finite subgroups of the Tate curve.
Keywords
Cite
@article{arxiv.1612.00930,
title = {Quasi-Elliptic Cohomology and its Power Operations},
author = {Zhen Huan},
journal= {arXiv preprint arXiv:1612.00930},
year = {2018}
}
Comments
Final version. 44 pages. To appear in J. Homotopy Relat. Struct