Lie algebras and the (co)homology of configuration spaces

Autor:	Knudsen, Ben
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Topology Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	We survey decades of research identifying the (co)homology of configuration spaces with Lie algebra (co)homology. The different routes to this one proto-theorem offer genuinely different explanations of its truth, and we attempt to convey some sense of the conceptual core of each perspective. We close with a list of problems. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.14909 Zobrazit plný text záznamu View this record from Arxiv