2024/11/01 by Shay Ben-Moshe, Ben-Moshe, Shay · 1 citation
Mathematics · #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.2411.00968
openalex publication_date 2024/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the compatibility of higher semiadditivity across different chromatic heights. We prove that the categorified transchromatic character map assembles into a parameterized semiadditive functor, showing that it is higher semiadditive up to a free loop shift. By decategorification, this implies that the transchromatic character map is compatible with integration maps, generalizing the well-known formula for the character of an induced representation. Through a further decategorification process, we compute the higher semiadditive cardinalities of π-finite spaces at Lubin-Tate spectra.