Twisted Real quasi-elliptic cohomology
Algebraic Topology
2022-10-17 v1 Representation Theory
Abstract
In this paper we construct twisted Real quasi-elliptic cohomology as the twisted KR-theory of loop groupoids. The theory systematically incorporates loop rotation and reflection. After establishing basic properties of the theory, we construct twisted elliptic Pontryagin characters and, without twists, Real analogues of the string power operation of quasi-elliptic cohomology. We also explore the relation of the theory to the Tate curve.
Cite
@article{arxiv.2210.07511,
title = {Twisted Real quasi-elliptic cohomology},
author = {Zhen Huan and Matthew B. Young},
journal= {arXiv preprint arXiv:2210.07511},
year = {2022}
}
Comments
46 pages