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20122021
most citedRandom veering triangulations are not geometric

7 citations · 17 across the 6 of their papers we have counts for

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7 papers · 1 filter

math.GT2021

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…

math.GT2020

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…

math.GT2019★ 1 cited

Symmetries and hidden symmetries of -twisted knot complements

Neil R. Hoffman, Christian Millichap, William Worden

In this paper we analyze symmetries, hidden symmetries, and commensurability classes of -twisted knot complements, which are the complements of knots that have a sufficie…

math.GT2019

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…

math.GT2018★ 7 cited

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…

math.GT2017★ 3 cited

Experimental statistics of veering triangulations

William Worden

Certain fibered hyperbolic 3-manifolds admit a , which can be constructed algorithmically given the stable lamination of the monodrom…

math.GT2016★ 6 cited

Hidden Symmetries and Commensurability of 2-Bridge Link Complements

Christian Millichap, William Worden

In this paper, we show that any non-arithmetic hyperbolic -bridge link complement admits no hidden symmetries. As a corollary, we conclude that a hyperbolic -bridge link comp…