Geometry, Topology and Dynamics Seminar
Emily Landes
UT, Austin
Identifying the Canonical Component for the Whitehead Link
Abstract: Although character varieties have proven to be a useful tool in studying
hyperbolic 3-manifolds, only recently have explicit models for the $SL(2,\mathbb C)$
character varieties of twist knot complements been constructed. As the
twist knot complements can be obtained by Dehn filling one of the cusps of
the Whitehead link complement, we are naturally interested in determining
the canonical component of the Whitehead link character variety and
studying the relationship among character varieties of manifolds obtained
by Dehn surgery. In my talk I will show how the canonical component of the
Whitehead link character variety is $\mathbb P^2$ blown-up at 10 points and discuss
the canonical components for a few other hyperbolic 2-component link
complements.
Monday August 30, 2010 at 3:00 PM in SEO 612