English

Genuine equivariant factorization homology

Algebraic Topology 2019-10-17 v1

Abstract

We construct a genuine GG-equivariant extension of factorization homology for GG a finite group, assigning a genuine GG-spectrum to a manifold with GG-action. We show that GG-factorization homology is compatible with Hill-Hopkins-Ravenel norms and satisfies equivariant \otimes-excision. Following Ayala-Francis we prove an axiomatic characterization of genuine GG-factorization homology. Applications include a description of real topological Hochschild homology and relative topological Hochschild homology of CnC_n-rings using genuine GG-factorization homology.

Keywords

Cite

@article{arxiv.1910.07226,
  title  = {Genuine equivariant factorization homology},
  author = {Asaf Horev},
  journal= {arXiv preprint arXiv:1910.07226},
  year   = {2019}
}

Comments

96 pages, comments welcome

R2 v1 2026-06-23T11:45:09.651Z