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2019 Splittings and calculational techniques for higher $\mathsf{THH}$
Irina Bobkova, Eva Höning, Ayelet Lindenstrauss, Kate Poirier, Birgit Richter, Inna Zakharevich
Algebr. Geom. Topol. 19(7): 3711-3753 (2019). DOI: 10.2140/agt.2019.19.3711

Abstract

Tensoring finite pointed simplicial sets X with commutative ring spectra R yields important homology theories such as (higher) topological Hochschild homology and torus homology. We prove several structural properties of these constructions relating X ( ) to Σ X ( ) and we establish splitting results. This allows us, among other important examples, to determine THH [ n ] ( p m ; p ) for all n 1 and for all m 2 .

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Irina Bobkova. Eva Höning. Ayelet Lindenstrauss. Kate Poirier. Birgit Richter. Inna Zakharevich. "Splittings and calculational techniques for higher $\mathsf{THH}$." Algebr. Geom. Topol. 19 (7) 3711 - 3753, 2019. https://doi.org/10.2140/agt.2019.19.3711

Information

Received: 20 November 2018; Revised: 1 February 2019; Accepted: 21 March 2019; Published: 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07162218
MathSciNet: MR4045366
Digital Object Identifier: 10.2140/agt.2019.19.3711

Subjects:
Primary: 18G60
Secondary: 55P43

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 7 • 2019
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