Genuine equivariant factorization homology

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.

96 pages, comments welcome

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Cited by in corpus (5)

• Genuine equivariant operads
• Equivariant nonabelian Poincaré duality and equivariant factorization homology of Thom spectra
• The genuine operadic nerve
• A geometric approach to equivariant factorization homology and nonabelian Poincaré duality
• Parametrized higher category theory II: Universal constructions