The braid groups Bn were originally introduced by Emil Artin in 1926. They have many interpretations, for example, as the group of geometric braids in R, as the Artin group of type An, as the… (More)

In this paper we construct a faithful representation of the mapping class group of the genus two surface into a group of matrices over the complex numbers. Our starting point is the Lawrence-Krammer… (More)

The Lawrence-Krammer representation of the braid groups recently came to prominence when it was shown to be faithful by myself and Krammer. It is an action of the braid group on a certain homology… (More)

[PDF] PC HARDWARE ANNOYANCES HOW TO FIX THE MOST ANNOYING THINGS ABOUT YOUR COMPUTER HARDWARE In this site isn`t the same as a solution manual you buy in a book store or download off the web. Our… (More)

We give a new definition of the Jones polynomial. Let L be an oriented knot or link obtained as the plat closure of a braid β ∈ B2n . We define a covering space C̃ of the space of unordered n-tuples… (More)