A family of representations of braid groups on surfaces

Abstract

We propose a family of new representations of the braid groups on surfaces that extend linear representations of the braid groups on a disc such as the Burau representation and the Lawrence-Krammer-Bigelow representation.

21 pages, 4 figures

References in corpus (2)

• The Burau representation is not faithful for n = 5
• The mapping class group of a genus two surface is linear

Cited by in corpus (4)

• Topological representations of motion groups and mapping class groups -- a unified functorial construction
• Polynomiality of surface braid and mapping class group representations
• The pro-nilpotent Lawrence-Krammer-Bigelow representation
• Heisenberg homology on surface configurations