Braid Groups are Linear
Stephen J. Bigelow
Abstract
The braid groups Bn can be defined as the mapping class group of the n-punctured disc. The Lawrence-Krammer representation of the braid group Bn is the induced action on a certain twisted second homology of the space of unordered pairs of points in the n-punctured disc. Recently, Daan Krammer showed that this is a faithful representation in the case n=4. In this paper, we show that it is faithful for all n.
Create a lesson
Related papers
Lifts of Brauer characters and vertex pairs for odd primes
Yong Yang
Galois's lost proof on PSL(2,p)
Péter P. Pálfy
Large orbits of p-groups on conjugacy classes
Thomas Michael Keller
Assouad--Nagata dimension of systolic complexes with almost flat intervals
Martín Blufstein, Victor Chepoi, Huaitao Gui et al.
Conjugator length of Bestvina-Brady groups
Jerónimo García-Mejía, Matteo Migliorini
Morse accessibility with applications to Coxeter groups
Matthew Cordes, Annette Karrer, Kim Ruane