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Splittings and
calculational techniques for higher $\mathsf{THH}$
Irina Bobkova, Eva Höning, Ayelet Lindenstrauss, Kate Poirier, Birgit Richter and Inna Zakharevich |
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Algebraic & Geometric Topology 19 (2019) 3711–3753
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Abstract |
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Tensoring finite pointed simplicial sets with commutative ring spectra yields important homology theories such as (higher) topological Hochschild homology and torus homology. We prove several structural properties of these constructions relating to and we establish splitting results. This allows us, among other important examples, to determine for all and for all . |
Keywords
higher topological Hochschild homology, higher Shukla
homology
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Mathematical Subject Classification 2010
Primary: 18G60
Secondary: 55P43
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References |
Publication
Received: 20 November 2018
Revised: 1 February 2019
Accepted: 21 March 2019
Published: 17 December 2019
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Authors |
| Irina Bobkova | |
| School of Mathematics Institute for Advanced Study Princeton, NJ United States |
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| Eva Höning | |
| Max-Planck Institut für
Mathematik Bonn Germany |
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| Ayelet Lindenstrauss | |
| Mathematics Department Indiana University Bloomington, IN United States |
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| Kate Poirier | |
| Mathematics Department New York City College of Technology CUNY Brooklyn, NY United States |
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| Birgit Richter | |
| Fachbereich Mathematik Universität Hamburg Hamburg Germany |
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| Inna Zakharevich | |
| Department of Mathematics Cornell University Ithaca, NY United States |
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