9 citations · 12 across the 6 of their papers we have counts for
4 papers · 1 filter
Colored Jones polynomials and abelianized Lefschetz numbers
Jules Martel
We show that the family of colored Jones polynomials of the closure of a braid compute weighted sums of abelianized Lefschetz numbers associated with the action of the braid on con…
The non semi-simple TQFT of the sphere with four punctures
Jules Martel
In this work, we compute the representation of the mapping class group of the sphere with punctures arising from the non semi-simple TQFT (constructed by Blanchet--Costantino--…
Colored version for Lawrence representations
Jules Martel
We give an explicit isomorphism between the Gassner representation and the first weight level of a representation of quantum sl(2). Then we construct and provide matrices for color…
A homological model for Verma-modules and their braid representations
Jules Martel
We extend Lawrence's representations of the braid groups to relative homology modules, and we show that they are free modules over a Laurent polynomials ring. We define homological…