On the geometry and bounded cohomology of racks and quandles

Autor:	Kędra, Jarek
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	We introduce and investigate a natural family of metrics on connected components of a rack. The metrics are closely related to certain bi-invariant metrics on the group of inner automorphisms of the rack. We also introduce a bounded cohomology of racks and quandles, relate them to the above metrics and prove a certain vanishing result for racks and quandles with amenable group of inner automorphisms. Comment: preliminary version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.02760 Zobrazit plný text záznamu View this record from Arxiv