Connective Models for Topological Modular Forms of Level $n$

Autor: Meier, Lennart
Rok vydání: 2021
Předmět:
Zdroj: Algebr. Geom. Topol. 23 (2023) 3553-3586
Druh dokumentu: Working Paper
DOI: 10.2140/agt.2023.23.3553
Popis: The goal of this article is to construct and study connective versions of topological modular forms of higher level like $\mathrm{tmf}_1(n)$. In particular, we use them to realize Hirzebruch's level-$n$ genus as a map of ring spectra.
Comment: 27 pages; v2: added several clarifications and minor correcionts in response to referee's comments, final version to appear in AGT
Databáze: arXiv