algebraic topology

On homological Real trace methods

arXiv:2608.04297

summary

The paper introduces homological Real trace methods to study continuous mod‑2 Bredon homology of Real topological periodic and negative cyclic homology, and applies them to compute the homology of Real topological negative cyclic homology of Real bordism.

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.

33 pages, 3 figures. Comments welcome!

Topics & keywords

On homological Real trace methods · wovepaper