Geodesic
Characters and transfer maps via categorified traces
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e93

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Carmeli, Shachar; Cnossen, Bastiaan; Ramzi, Maxime; Yanovski, Lior. Characters and transfer maps via categorified traces. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e93. doi: 10.1017/fms.2025.23
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