A spectrum-level Hodge filtration on topological Hochschild homology

Saul Glasman

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We define a functorial spectrum-level filtration on the topological Hochschild homology of any commutative ring spectrum R, and more generally the factorization homology R⊗ X for any space X, echoing algebraic constructions of Loday and Pirashvili. We give a geometric description of this filtration, investigate its multiplicative properties, and show that it breaks THH up into common eigenspectra of the Adams operations.

Original languageEnglish (US)
Pages (from-to)1583-1612
Number of pages30
JournalSelecta Mathematica, New Series
Volume22
Issue number3
DOIs
StatePublished - Jul 1 2016

Fingerprint Dive into the research topics of 'A spectrum-level Hodge filtration on topological Hochschild homology'. Together they form a unique fingerprint.

Cite this