English

An HKR theorem for factorization homology

Algebraic Topology 2023-11-17 v2 K-Theory and Homology

Abstract

We prove a Hochschild-Kostant-Rosenberg theorem ("the HKR theorem") which computes the factorization homology of certain smooth commutative ring spectra. In doing so we fix and generalize a THH computation which was first conceived as the brainchild of McCarthy-Minasian. A direct application of our revised HKR theorem is the higher THH of rational KUKU.

Keywords

Cite

@article{arxiv.2305.00658,
  title  = {An HKR theorem for factorization homology},
  author = {Hari Rau-Murthy},
  journal= {arXiv preprint arXiv:2305.00658},
  year   = {2023}
}

Comments

minor revisions, typos fixed, references updated, background section updated. comments are welcome

R2 v1 2026-06-28T10:22:13.457Z