14 citations · 15 across the 3 of their papers we have counts for
4 papers
Complex hyperbolic and projective deformations of small Bianchi groups
Julien Paupert, Morwen Thistlethwaite
The Bianchi groups ${\rm Bi}(d)={\rm PSL}(2,\mathcal{O}_d) < {\rm PSL}(2,\C)$ (where denotes the ring of integers of $\Q (i\sqrt{d})$, with squarefr…
Character varieties for SL(3,C): the figure eight knot
Elisha Falbel, Antonin Guilloux, Pierre-Vincent Koseleff +2
We give a description of several representation varieties of the fundamental group of the complement of the figure eight knot in PGL(3,C) or SL(3,C). We moreover obtain an explicit…
An alternative approach to hyperbolic structures on link complements
Morwen Thistlethwaite, Anastasiia Tsvietkova
An alternative method is described for determining the hyperbolic structure on a link complement, and some of its elementary consequences are examined. The method is particularly s…
Behavior of knot invariants under genus 2 mutation
Nathan M. Dunfield, Stavros Garoufalidis, Alexander Shumakovitch +1
Genus 2 mutation is the process of cutting a 3-manifold along an embedded closed genus 2 surface, twisting by the hyper-elliptic involution, and gluing back. This paper compares ge…