On Luis Paris
April-20-10
3:53 PM
By Karene -
"In any case, his approach was that he maps vbraids onto the symmetric group thus decomposing v-braid into a semi-direct product of it and another group, BUT not by the usual onto map:  he maps the real crossing to 1, and the virtual crossing to the transposition.  It is [] well-defined, and the kernel of this map is an Artin group, and they can apply the general theory of Artin group to it to solve the word problem and more."