Henry Segerman (UT Austin)
Ideal triangulations and components of the character variety
There is a natural map from a deformation variety of a
manifold to its character variety, which builds a representation from
the shapes of ideal hyperbolic tetrahedra given by a point in the
deformation variety. The Dehn surgery component of the character
variety is always in the image of this map. We don't know much in
general about other components of the character variety, and if or
when the deformation variety maps to them.
I will talk about a concrete example for which the triangulation
matters as to which components of the character variety a given
deformation variety of the manifold maps to, and discuss a potential
way to get around this dependence on the triangulation.
Go back to the seminar page.
Please send comments to Shelly Harvey ().