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2020 On the Brun spectral sequence for topological Hochschild homology
Eva Höning
Algebr. Geom. Topol. 20(2): 817-863 (2020). DOI: 10.2140/agt.2020.20.817

Abstract

We generalize a spectral sequence of Brun for the computation of topological Hochschild homology. The generalized version computes the E–homology of THH(A;B), where E is a ring spectrum, A is a commutative S–algebra and B is a connective commutative A–algebra. The input of the spectral sequence are the topological Hochschild homology groups of B with coefficients in the E–homology groups of BAB. The mod p and v1 topological Hochschild homology of connective complex K–theory has been computed by Ausoni and later again by Rognes, Sagave and Schlichtkrull. We present an alternative, short computation using the generalized Brun spectral sequence.

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Eva Höning. "On the Brun spectral sequence for topological Hochschild homology." Algebr. Geom. Topol. 20 (2) 817 - 863, 2020. https://doi.org/10.2140/agt.2020.20.817

Information

Received: 27 August 2018; Revised: 6 August 2019; Accepted: 15 August 2019; Published: 2020
First available in Project Euclid: 30 April 2020

zbMATH: 07195377
MathSciNet: MR4092312
Digital Object Identifier: 10.2140/agt.2020.20.817

Subjects:
Primary: 19D55, 55P42, 55T99

Rights: Copyright © 2020 Mathematical Sciences Publishers

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