Webb21 okt. 2024 · 1 Introduction. Transverse taut veering triangulations were introduced by Ian Agol as a way to canonically triangulate certain pseudo-Anosov mapping tori … Webb23 dec. 2010 · Agol recently introduced the notion of a veering triangulation, and showed that such triangulations naturally arise as layered triangulations of fibered hyperbolic 3‐manifolds. We prove, by a constructive argument, that every veering triangulation admits positive angle structures, recovering a result of Hodgson, Rubinstein, Segerman, and …
Dynamics of veering triangulations: infinitesimal components of …
Webb25 jan. 2024 · This is an ideal triangulation of a 3-manifold satisfying a certain handedness property, first defined by Ian Agol. An interesting property of layered veering triangulations is the connection with fibered faces of the Thurston norm; a tool for studying fibrations of hyperbolic 3-manifolds. Printer-friendly version Calendar © MPI f. … WebbMain characters: 1. Cusped hyperbolic 3-manifolds 2. Ideal triangulations ℍ3 M = ℍ3/!! ∈ Isom(ℍ3) discrete, torsion free, w/ rank 2 parabolic subgroup(s) • decomposition of M … discuss essay format
Non-geometric veering triangulations - University of Texas at Austin
Webb27 feb. 2024 · This webpage collects data related to veering structures on ideal triangulations of three-manifolds, as introduced by Ian Agol in his 2011 paper, Ideal … WebbIn Chapter 6, we discuss ideal triangulations of 3-manifolds and describe the gluing, completeness and hyperbolic Dehn lling equations for ideal triangulations. In Chapter 7, we present Agol’s construction of veering triangulations in terms of periodic splitting sequences of invariant train tracks, following [2]. We use invariant train tracks WebbHe is also interested in surface homeomorphisms, veering triangulations of punctured surface bundles (as described by Ian Agol), and commensurability of 3-manifolds. His thesis advisor was Dave Futer . First position: G.C. Evans Instructor at Rice University. Graduate Courses in Geometry and Topology Math 8061-62: Smooth Manifolds discusses in a sentence