Geometry and Topology Seminar——On the Volume Conjecture for hyperbolic Dehn-filled 3-manifolds along the twist knots
报告人:杨宇轩(北京大学)
时间:2024-11-04 15:10-17:00
地点:智华楼四元厅(224,225)
Abstract: For a twist knot K_p', let M be the closed 3-manifold obtained by doing (p, q) Dehn-filling along K_p'. In this article, we prove that Chen-Yang's volume conjecture holds for sufficiently large |p| + |q| and |p'| for M. In the proof, we construct a new ideal triangulation of the Whitehead link complement which is different from Thurston's triangulation. Our triangulation has led to some new discoveries regarding symmetry, including insights into "sister manifolds" as introduced by Hodgson, Meyerhoff, and Weeks.