TY - JOUR
T1 - Characters and transfer maps via categorified traces
AU - Carmeli, Shachar
AU - Cnossen, Bastiaan
AU - Ramzi, Maxime
AU - Yanovski, Lior
N1 - Publisher Copyright:
© 2025 The Author(s).
PY - 2025/6/3
Y1 - 2025/6/3
N2 - We develop a theory of generalized characters of local systems in -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 ∞-categories.
AB - We develop a theory of generalized characters of local systems in -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 ∞-categories.
UR - http://www.scopus.com/inward/record.url?scp=105007313659&partnerID=8YFLogxK
U2 - 10.1017/fms.2025.23
DO - 10.1017/fms.2025.23
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AN - SCOPUS:105007313659
SN - 2050-5094
VL - 13
JO - Forum of Mathematics, Sigma
JF - Forum of Mathematics, Sigma
M1 - e93
ER -