Power operations in orbifold Tate K-theory
K-Theory and Homology
2013-01-15 v1
Abstract
We formulate the axioms of an orbifold theory with power operations. We define orbifold Tate K-theory, by adjusting Devoto's definition of the equivariant theory, and proceed to construct its power operations. We calculate the resulting symmetric powers, exterior powers and Hecke operators and put our work into context with orbifold loop spaces, level structures on the Tate curve and generalized Moonshine.
Cite
@article{arxiv.1301.2754,
title = {Power operations in orbifold Tate K-theory},
author = {Nora Ganter},
journal= {arXiv preprint arXiv:1301.2754},
year = {2013}
}
Comments
This paper formulates part of the material of math/0701565 (Stringy power operations in Tate K-theory) for general orbifolds, and discusses some additional topics