Back to Search
Start Over
The topological cyclic homology of the dual circle
- Publication Year :
- 2016
-
Abstract
- We give a new proof of a result of Lazarev, that the dual of the circle $S^1_+$ in the category of spectra is equivalent to a strictly square-zero extension as an associative ring spectrum. As an application, we calculate the topological cyclic homology of $DS^1$ and rule out a Koszul-dual reformulation of the Novikov conjecture.<br />Comment: 18 pages, 2 figures, 2 tables. Replaces the second half of the earlier preprint "On the topological Hochschild homology of $DX$."
- Subjects :
- Mathematics - Algebraic Topology
Mathematics - K-Theory and Homology
19D55, 55P43
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1610.06898
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jpaa.2016.10.001