Loday constructions on twisted products and on toriShow others and affiliations
2022 (English)In: Topology and its Applications, ISSN 0166-8641, E-ISSN 1879-3207, Vol. 316, article id 108103Article in journal (Refereed) Published
Abstract [en]
We develop a spectral sequence for the homotopy groups of Loday constructions with respect to twisted cartesian products in the case where the group involved is discrete. We show that for commutative Hopf algebra spectra Loday constructions are stable, generalizing a result by Berest, Ramadoss and Yeung, but prove that several Loday constructions of truncated polynomial rings with reduced coefficients are not stable by investigating their torus homology.(c) 2022 Elsevier B.V. All rights reserved.
Place, publisher, year, edition, pages
Elsevier BV Elsevier, 2022. Vol. 316, article id 108103
Keywords [en]
Torus homology, (Higher) Hochschild homology, (Higher) topological Hochschild, homology, Stability, Twisted cartesian products
National Category
Geometry
Identifiers
URN: urn:nbn:se:uu:diva-480365DOI: 10.1016/j.topol.2022.108103ISI: 000812935600010OAI: oai:DiVA.org:uu-480365DiVA, id: diva2:1682591
Conference
3rd Workshop on Women in Topology, AUG, 2019, Hausdorff Res Inst Math, Bonn, GERMANY
2022-07-112022-07-112024-01-15Bibliographically approved