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BIMSA-Tsinghua Quantum Symmetry Seminar
On the Volume Conjecture for hyperbolic Dehn-filled 3-manifolds along the twist knots
On the Volume Conjecture for hyperbolic Dehn-filled 3-manifolds along the twist knots
Organizers
Speaker
Yuxuan Yang
Time
Tuesday, December 3, 2024 4:00 PM - 5:00 PM
Venue
A3-3-301
Online
Zoom 293 812 9202
(BIMSA)
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. This work is a collaboration with Huabin Ge, Chuwen Wang, and Yunpeng Meng.