A spectrum-level Hodge filtration on topological Hochschild homology

Saul Glasman

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arXiv · 1408.3065

A spectrum-level Hodge filtration on topological Hochschild homology

Saul Glasman

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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 $R \otimes X$ for any space $X$, echoing algebraic constructions of Loday and Pirashvili. We investigate the properties of this filtration and show that it breaks THH up into common eigenspectra of the Adams operations.

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Saul Glasman. 2014-08-13. A spectrum-level Hodge filtration on topological Hochschild homology. https://arxiv.org/abs/1408.3065

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