Carmeli, Shachar and Cnossen, Bastiaan and Ramzi, Maxime and Yanovski, Lior (2025) Characters and transfer maps via categorified traces. FORUM OF MATHEMATICS SIGMA, 13: e93. ISSN 2050-5094
Full text not available from this repository. (Request a copy)Abstract
We develop a theory of generalized characters of local systems in $\infty $ -categories, which extends classical character theory for group representations and, in particular, the induced character formula. A key aspect of our approach is that we utilize the interaction between traces and their categorifications. We apply this theory to reprove and refine various results on the composability of Becker-Gottlieb transfers, the Hochschild homology of Thom spectra, and the additivity of traces in stable $\infty $ -categories.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAIC K-THEORY; THOM SPECTRA; HOMOLOGY |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 May 2026 08:05 |
| Last Modified: | 07 May 2026 08:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/67166 |
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