English

On homological Real trace methods

Algebraic Topology 2026-08-05 v1 K-Theory and Homology

Abstract

We develop homological Real trace methods, an approach to understanding the continuous mod two Bredon homology of Real topological periodic homology and Real topological negative cyclic homology, generalizing prior work of Bruner and Rognes. We use this new approach to do several computations, including the continuous mod two Bredon homology of the Real topological negative cyclic homology of Real bordism.

Cite

@article{arxiv.2608.04297,
  title  = {On homological Real trace methods},
  author = {Myungsin Cho and Teena Gerhardt and Liam Keenan and Juan C. Moreno and J. D. Quigley},
  journal= {arXiv preprint arXiv:2608.04297},
  year   = {2026}
}

Comments

33 pages, 3 figures. Comments welcome!