Splittings and calculational techniques for higher THH Academic Article uri icon

abstract

  • 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 $X otimes (-)$ to $Sigma X otimes (-)$ and we establish splitting results. This allows us, among other important examples, to determine $THH^{[n]}_*(mathbb{Z}/p^m; mathbb{Z}/p)$ for all $n geq 1$ and for all $m geq 2$.

published proceedings

  • ALGEBRAIC AND GEOMETRIC TOPOLOGY

altmetric score

  • 1.6

author list (cited authors)

  • Bobkova, I., Hoening, E., Lindenstrauss, A., Poirier, K., Richter, B., & Zakharevich, I.

citation count

  • 1

complete list of authors

  • Bobkova, Irina||Hoening, Eva||Lindenstrauss, Ayelet||Poirier, Kate||Richter, Birgit||Zakharevich, Inna

publication date

  • December 2019