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arXiv · 1610.06898

The topological cyclic homology of the dual circle

Cary Malkiewich
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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.

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Cary Malkiewich. 2016-10-21. The topological cyclic homology of the dual circle. https://doi.org/10.1016/j.jpaa.2016.10.001

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