The torus trick for configuration categories

Autor:	de Brito, Pedro Boavida, Weiss, Michael S.
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Topology 57R40 (Primary) 55U40 55P4 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We show that in codimension at least 3, spaces of locally flat topological embeddings of manifolds are correctly modelled by derived spaces of maps between their configuration categories (under mild smoothability conditions). That general claim was reduced in an earlier paper to the special cases where the manifolds in question are euclidean spaces. We deal with these special cases by comparing to other special cases where the manifolds have the form "torus" and "torus times euclidean space" respectively, and by setting up a torus trick for configuration categories. Comment: 52 pages. Changes in v3: some minor changes to sections 4 and appendix A and bigger changes to sections 6 and 7
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.00799 Zobrazit plný text záznamu View this record from Arxiv