59 citations · 218 across the 44 of their papers we have counts for
52 papers · 1 filter
Complexity of 3-manifolds obtained by Dehn filling
William Jaco, J. Hyam Rubinstein, Jonathan Spreer +1
Let be a compact 3--manifold with boundary a single torus. We present upper and lower complexity bounds for closed 3--manifolds obtained as even Dehn fillings of As an app…
On the topology of character varieties of once-punctured torus bundles
Stephan Tillmann, Youheng Yao
This paper presents, for the special case of once-punctured torus bundles, a natural method to study the character varieties of hyperbolic 3-manifolds that are bundles over the cir…
A new family of minimal ideal triangulations of cusped hyperbolic 3-manifolds
J. Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann
Previous work of the authors with Bus Jaco determined a lower bound on the complexity of cusped hyperbolic 3-manifolds and showed that it is attained by the monodromy ideal triangu…
Slope norm and an algorithm to compute the crosscap number
William Jaco, J. Hyam Rubinstein, Jonathan Spreer +1
We give three algorithms to determine the crosscap number of a knot in the 3-sphere using -efficient triangulations and normal surface theory. Our algorithms are shown to be cor…
The Thurston norm via spun-normal immersions
Daryl Cooper, Stephan Tillmann, William Worden
A theory of transversely oriented spun-normal immersed surfaces in ideally triangulated 3--manifolds is developed in this paper, including linear functionals determining the bounda…
On properly convex real-projective manifolds with Generalized Cusp
Daryl Cooper, Stephan Tillmann
Suppose is an end of an irreducible, properly convex, real-projective -manifold . If contains a subgroup of finite index isomorphic to , and $E\…