The Library
Comparing cyclotomic structures on different models for topological Hochschild homology
Tools
Tools
Tools
Dotto, Emanuele, Malkiewich, Cary, Patchkoria, Irakli, Sagave, Steffen and Woo, Calvin (2019) Comparing cyclotomic structures on different models for topological Hochschild homology. Journal of Topology, 12 (4). pp. 1146-1173. doi:10.1112/topo.12116 ISSN 1753-8416.
|
PDF
WRAP-comparing-cyclotomic-structures-different-models-topological-Hochschild-homology-Dotto-2019.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (528Kb) | Preview |
|
![[img]](http://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
Comparing.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (549Kb) |
Official URL: https://doi.org/10.1112/topo.12116
Abstract
The topological Hochschild homology THH(A) of an orthogonal ring spectrum A can be defined by evaluating the cyclic bar construction on A or by applying B¨okstedt’s original definition of THH to A. In this paper, we construct a chain of stable equivalences of cyclotomic spectra comparing these two models for THH(A). This implies that the two versions of topological cyclic homology resulting from these variants of THH(A) are equivalent.
| Item Type: | Journal Article | ||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||||||||
| Library of Congress Subject Headings (LCSH): | Homology theory, Cyclotomy, Algebraic fields | ||||||||||||||||||
| Journal or Publication Title: | Journal of Topology | ||||||||||||||||||
| Publisher: | Oxford University Press | ||||||||||||||||||
| ISSN: | 1753-8416 | ||||||||||||||||||
| Official Date: | December 2019 | ||||||||||||||||||
| Dates: |
|
||||||||||||||||||
| Volume: | 12 | ||||||||||||||||||
| Number: | 4 | ||||||||||||||||||
| Page Range: | pp. 1146-1173 | ||||||||||||||||||
| DOI: | 10.1112/topo.12116 | ||||||||||||||||||
| Status: | Peer Reviewed | ||||||||||||||||||
| Publication Status: | Published | ||||||||||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||||||||
| Date of first compliant deposit: | 12 September 2019 | ||||||||||||||||||
| Date of first compliant Open Access: | 18 September 2019 | ||||||||||||||||||
| RIOXX Funder/Project Grant: |
|
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
