A spectrum-level Hodge filtration on topological Hochschild homology

Saul Glasman ^[1]
1. [1] Princeton, NJ
Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 3, 2016, págs. 1583-1612
Idioma: inglés
DOI: 10.1007/s00029-016-0228-z
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Resumen
- 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⊗XR⊗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 THHTHH up into common eigenspectra of the Adams operations.