Lawrence-Bigelow representations, bases and duality

Autor:	Anghel, Cristina Ana-Maria, Palmer, Martin
Rok vydání:	2020
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology Mathematics - Representation Theory 20C08 20C12 20F36 55N25 55R80 57M10
Druh dokumentu:	Working Paper
Popis:	We study homological representations of mapping class groups, including the braid groups. These arise from the twisted homology of certain configuration spaces, and come in many different flavours. Our goal is to give a unified general account of the fundamental relationships (non-degenerate pairings, embeddings, isomorphisms) between the many different flavours of homological representations. Our motivating examples are the Lawrence-Bigelow representations of the braid groups, which are of central importance in the study of the braid groups themselves, as well as their connections with quantum invariants of knots and links. Comment: 25 pages; comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.02388 Zobrazit plný text záznamu View this record from Arxiv