Hyperbolic 3-manifolds Reading Seminar



Title: Exact volume of hyperbolic 2-bridge links

Speaker: Abhijit Champanerkar

Abstract: We will use the technique developed by Thistlethwaite and Tsvietkova to compute hyperbolic sructures from alternating diagrams to study 2-bridge link complements. In this series of talks we will review their technique, use it for 2-bridge link diagrams. Later on we will review Sakuma-Weeks triangulation of 2-bridge link complements and see how we can modify Thistlethwaite-Tsvietkova's technique to obtain tetrahedral parameters from the diagrams. See the links below for the reference papers.

Reference papers:
  1. Exact volume of hyperbolic 2-bridge links by Anastasiia Tsvietkova.
  2. An alternative approach to hyperbolic structures on link complements by Morwen Thistlethwaite and Anastasiia Tsvietkova, Algebraic & Geometric Topology.