Higher Semiadditivity in Transchromatic Homotopy Theory
| Autor: | Ben-Moshe, Shay |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $\pi$-finite spaces at Lubin-Tate spectra. Comment: 43 pages, comments are welcome! |
| Databáze: | arXiv |
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