Applications of equivariant factorization homology

2025/08/18 by Miladinović, Aleksandar
#18N60 #55P91 #55U40 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.12911

Abstract

In this paper we use the equivariant version of factorization homology constructed using the parametrized higher category theory and show that it can be used to describe the results used in the series of papers.

Citations

• Norms for compact Lie groups in equivariant stable homotopy theory
• Parametrized and equivariant higher algebra
• Real topological Hochschild homology via the norm and Real Witt vectors
• Equivariant nonabelian Poincaré duality and equivariant factorization homology of Thom spectra
• Genuine equivariant factorization homology
• Equivariant factorization homology of global quotient orbifolds
• Parametrized higher category theory and higher algebra: Expos 'e IV --\n Stability with respect to an orbital \∞-category
• Parametrized higher category theory and higher algebra: Exposé I -- Elements of parametrized higher category theory
• Topological cyclic homology via the norm
• On the non-existence of elements of Kervaire invariant one
• On the nonexistence of elements of Kervaire invariant one
• Higher Topos Theory
• Configuration spaces with summable labels

Related

• A factorization homology primer
• Equivariant factorization homology of global quotient orbifolds
• Equivariant localization in factorization homology and applications in\n mathematical physics I: Foundations
• Genuine equivariant factorization homology
• Notes on factorization algebras, factorization homology and applications