192 citations · 749 across the 37 of their papers we have counts for
Showing 2002Show all
3 papers · 1 filter
math.GT2002
Small 3-manifolds of large genus
Ian Agol
We prove the existence of pure braids with arbitrarily many strands which are small, i.e. they contain no closed incompressible surface in the complement which is not boundary para…
math.GT2002★ 3 cited
The Computational Complexity of Knot Genus and Spanning Area
Ian Agol, Joel Hass, William P. Thurston
We investigate the computational complexity of some problems in three-dimensional topology and geometry. We show that the problem of determining a bound on the genus of a knot in a…
math.GT2002★ 8 cited
An algorithm to detect laminar 3-manifolds
Ian Agol, Tao Li
We show that there are algorithms to determine if a 3-manifold contains an essential lamination or a Reebless foliation.