English

Examples of disk algebras

Algebraic Topology 2025-01-27 v2 K-Theory and Homology

Abstract

We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum BPBP, its truncated variants BPnBP\langle n \rangle, Ravenel's spectra X(n)X(n), and evenly graded polynomial rings over the sphere spectrum. Consequently, topological Hochschild homology relative to these rings inherits a circle action.

Keywords

Cite

@article{arxiv.2302.11702,
  title  = {Examples of disk algebras},
  author = {Sanath Devalapurkar and Jeremy Hahn and Tyler Lawson and Andrew Senger and Dylan Wilson},
  journal= {arXiv preprint arXiv:2302.11702},
  year   = {2025}
}

Comments

v2: Fixed erroneous sentence in the introduction. 8 pages. Comments always welcome

R2 v1 2026-06-28T08:47:26.100Z