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2018 A May-type spectral sequence for higher topological Hochschild homology
Gabe Angelini-Knoll, Andrew Salch
Algebr. Geom. Topol. 18(5): 2593-2660 (2018). DOI: 10.2140/agt.2018.18.2593

Abstract

Given a filtration of a commutative monoid A in a symmetric monoidal stable model category C , we construct a spectral sequence analogous to the May spectral sequence whose input is the higher order topological Hochschild homology of the associated graded commutative monoid of A , and whose output is the higher order topological Hochschild homology of A . We then construct examples of such filtrations and derive some consequences: for example, given a connective commutative graded ring  R , we get an upper bound on the size of the THH –groups of E –ring spectra  A such that π ( A ) R .

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Gabe Angelini-Knoll. Andrew Salch. "A May-type spectral sequence for higher topological Hochschild homology." Algebr. Geom. Topol. 18 (5) 2593 - 2660, 2018. https://doi.org/10.2140/agt.2018.18.2593

Information

Received: 1 December 2016; Revised: 28 January 2018; Accepted: 3 March 2018; Published: 2018
First available in Project Euclid: 30 August 2018

zbMATH: 06935816
MathSciNet: MR3848395
Digital Object Identifier: 10.2140/agt.2018.18.2593

Subjects:
Primary: 18G30, 19D55, 55P42
Secondary: 55T05

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 5 • 2018
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