Homology of E_n Ring Spectra and Iterated THH

Abstract

We describe an iterable construction of THH for an E_n ring spectrum. The reduced version is an iterable bar construction and its n-th iterate gives a model for the shifted cotangent complex at the augmentation, representing reduced topological Quillen homology of an augmented E_n algebra.

Some additional exposition added. Minor corrections

References in corpus (1)

• Iterated bar complexes of E-infinity algebras and homology theories

Cited by in corpus (8)

• The Multiplication on BP
• Homotopy completion and topological Quillen homology of structured ring spectra
• The Segal conjecture for topological Hochschild homology of complex cobordism
• E_n Genera
• Towards topological Hochschild homology of Johnson-Wilson spectra
• The May-Milgram filtration and $E_k$-cells
• Topological Quillen localization of structured ring spectra
• A nilpotent Whitehead theorem for TQ-homology of structured ring spectra