Relative Loday constructions and applications to higher [formula omitted]-calculations

Gemma Halliwell,Eva Höning,Ayelet Lindenstrauss,Birgit Richter,Inna Zakharevich

doi:10.1016/j.topol.2017.12.005

Relative Loday constructions and applications to higher [formula omitted]-calculations

Gemma Halliwell, Eva Höning + Show 3 more

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https://doi.org/10.1016/j.topol.2017.12.005

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Journal: Topology and its Applications	Publication Date: Dec 6, 2017
Citations: 3	License type: publisher-specific-oa

Affiliation: University of Sheffield, Université Sorbonne Paris Nord, Indiana University Bloomington, Universität Hamburg, Cornell University

#Version Of Construction #Relative Constructions + Show 6 more

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Abstract

We define a relative version of the Loday construction for a sequence of commutative S-algebras A→B→C and a pointed simplicial subset Y⊂X. We use this to construct several spectral sequences for the calculation of higher topological Hochschild homology and apply those for calculations in some examples that could not be treated before.

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