Seifert fibered Dehn filling

speaker: Cameron Gordon (The University of Texas at Austin)

abstract: It is conjectured that if \(M\) is a hyperbolic 3-manifold having non-hyperbolic Dehn fillings \(M(\alpha)\) and \(M(\beta)\) with \(\Delta(\alpha,\beta) > 5\) then M is one of four specific manifolds. This is known if neither \(M(\alpha)\) nor \(M(\beta)\) is a small Seifert fibered space. In the case where \(M(\alpha)\) is small Seifert and \(M(\beta)\) is toroidal the conjecture implies that either \(\Delta(\alpha,\beta) \leq 5\) or \(M\) is the figure eight knot exterior. As a step in the direction of proving this we show that if the essential punctured torus in \(M\) with boundary-slope \(\beta\) is not a fiber or semi-fiber for \(M\) and does not have exactly two boundary components then \(\Delta(\alpha,\beta) \leq 5\). (This is joint work with Steve Boyer and Xingru Zhang.)

timetable:
Wed 25 May, 11:15 - 12:00, Aula Dini
<< Go back