Genuine equivariant factorization homology

Asaf Horev

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arXiv · 1910.07226

Genuine equivariant factorization homology

Asaf Horev

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Abstract

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

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BibTeX RIS

Asaf Horev. 2019-10-16. Genuine equivariant factorization homology. https://arxiv.org/abs/1910.07226

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