English

Relative Loday constructions and applications to higher THH-calculations

Algebraic Topology 2016-09-09 v1

Abstract

We define a relative version of the Loday construction for a sequence of commutative S-algebras ABCA \rightarrow B \rightarrow C and a pointed simplicial subset YXY \subset 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.

Keywords

Cite

@article{arxiv.1609.02397,
  title  = {Relative Loday constructions and applications to higher THH-calculations},
  author = {Gemma Halliwell and Eva Höning and Ayelet Lindenstrauss and Birgit Richter and Inna Zakharevich},
  journal= {arXiv preprint arXiv:1609.02397},
  year   = {2016}
}
R2 v1 2026-06-22T15:43:54.047Z