Topology Seminar: Fumikazu Nagasato (Meijo University), 'On the trace-free characters of knot groups'

Event Date: 

Wednesday, October 31, 2012 -
2:00pm to 3:00pm

Event Location: 

  • 4607B South Hall

Based on a joint work with Yoshikazu Yamaguchi (Tokyo Tech). In this talk, we will mainly focus on the trace-free characters of SL(2,C)-representations of a knot group. This gives an algebraic subset of the character variety of the knot group with a symmetry in terms of the metabelian characters. This symmetry is useful to understand a relationship to the character variety of 2-fold branched cover of 3-sphere over the knot.