Higher topological Hochschild homology of Thom spectra

Abstract

In this paper we analyze the higher topological Hochschild homology of commutative Thom S-algebras. This includes the case of the classical cobordism spectra MO, MSO, MU, etc. We consider the homotopy orbits of the torus action on iterated topological Hochschild homology and we describe the relationship to topological Andre-Quillen homology.

30 pages, minor revisions

References in corpus (3)

• Diagram spaces and symmetric spectra
• Topological Hochschild homology of Thom spectra and the free loop space
• Higher topological cyclic homology and the Segal conjecture for tori

Cited by in corpus (13)

• Diagram spaces and symmetric spectra
• Topological Hochschild homology of Thom spectra and the free loop space
• Diagram spaces, diagram spectra, and spectra of units
• Equivariant Structure on Smash Powers
• Group completion and units in I-spaces
• Hochschild-Pirashvili homology on suspensions and representations of $Out(F_n)$
• Towards an understanding of ramified extensions of structured ring spectra
• The factorization theory of Thom spectra and twisted non-abelian Poincaré duality
• Equivariant nonabelian Poincaré duality and equivariant factorization homology of Thom spectra
• Unwinding the relative Tate diagonal
• Commutative ring spectra
• Thom spectra, higher $THH$ and tensors in $\infty$-categories
• Relative Loday constructions and applications to higher THH-calculations