Ishan Levy

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20242026

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math.AT2025

Topological Hochschild homology of the image of j

David Jongwon Lee, Ishan Levy

We compute the mod $(p, v_{1})$ and mod $(2, I^\cdot, v_{1})$ $THH$ of many variants of the image-of- $J$ spectrum. In particular, we do this for $j_{I^} ¶$ , whose $TC$ is closely…

math.AT2025

The Borel Cohomology of Free Iterated Loop Spaces

Ishan Levy, Justin Wu

We compute the $SO (n + 1)$ -equivariant mod $2$ Borel cohomology of the free iterated loop space $Z^{S^{n}}$ when $Z$ is a mod $2$ generalized Eilenberg Mac Lane space. When $n = 1$ ,…