192 citations · 749 across the 37 of their papers we have counts for
43 papers
Ribbon concordance of fibered knots and compressions of surface homeomorphisms
Ian Agol, Qiuyu Ren
We prove that simplicial volume and dilatation are monotone under ribbon concordance between fibered knots in , and that every fibered knot has only finitely many predecessors…
Simply transitive geodesics and omnipotence of lattices in PSL
Ian Agol, Tam Cheetham-West, Yair Minsky
We show that the isometry group of a finite-volume hyperbolic 3-manifold acts simply transitively on many of its closed geodesics. Combining this observation with the Virtual Speci…
Chainmail links and L-spaces
Ian Agol
In this note we prove that alternating chainmail links are L-space links. The proof is inspired by corresponding proofs for double branched covers of alternating links. We also mor…
Guts in Sutured Decompositions and the Thurston Norm
Ian Agol, Yue Zhang
We construct an invariant called guts for second homology classes in irreducible 3-manifolds with toral boundary and non-degenerate Thurston norm. We prove that the guts of second…
Peripheral birationality for 3-dimensional convex co-compact varieties
Ian Agol, Franco Vargas Pallete
Let be a hyperbolizable -manifold with boundary, and let be a component of the -character variety of that contains the convex co-compact charac…
Ribbon concordance of knots is a partial order
Ian Agol
In this note we show that ribbon concordance forms a partial ordering on the set of knots, answering a question of Gordon. The proof makes use of representation varieties of the kn…