Key points are not available for this paper at this time.
The braid group B n Bₙ can be defined as the mapping class group of the n n -punctured disk. A group is said to be linear if it admits a faithful representation into a group of matrices over R R. Recently Daan Krammer has shown that a certain representation of the braid groups is faithful for the case n = 4 n=4. In this paper, we show that it is faithful for all n n.
Stephen Bigelow (Wed,) studied this question.