4 papers
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…
Dehn surgery and hyperbolic knot complements without hidden symmetries
Eric Chesebro, Jason DeBlois, Neil R Hoffman +3
Neumann and Reid conjecture that there are exactly three knot complements which admit hidden symmetries. This paper establishes several results that provide evidence for the conjec…
Small knots of large Heegaard genus
William Worden
Building off ideas developed by Agol, we construct a family of hyperbolic knots whose complements contain no closed incompressible surfaces and have Heegaard genus exactly $n…
Random veering triangulations are not geometric
David Futer, Samuel J. Taylor, William Worden
Every pseudo-Anosov mapping class defines an associated veering triangulation of a punctured mapping torus. We show that generically, is not geometric. Here, the wo…