English

Factorization homology of enriched $\infty$-categories

Algebraic Topology 2024-05-13 v2 Mathematical Physics Category Theory math.MP Quantum Algebra

Abstract

For an arbitrary symmetric monoidal \infty-category V\mathcal{V}, we define the factorization homology of V\mathcal{V}-enriched (,1)(\infty,1)-categories over (possibly stratified) 1-manifolds and study some of its basic properties. In the case of spectral enrichment, we show that the value of factorization homology on a circle is topological Hochschild homology.

Keywords

Cite

@article{arxiv.1710.06414,
  title  = {Factorization homology of enriched $\infty$-categories},
  author = {David Ayala and John Francis and Aaron Mazel-Gee and Nick Rozenblyum},
  journal= {arXiv preprint arXiv:1710.06414},
  year   = {2024}
}
R2 v1 2026-06-22T22:17:17.700Z