Knot complements and 3-manifolds

The study of 3-manifold groups has reached big success in the last few decades, with the proof of geometrization theorem by Perelman, and several virtually compact special theorems by Wise, etc. In this paper, we will explore several aspects of 3-manifold groups and see what it shows for the knot complement as a compact 3-manifold. We will also apply some combinatorial methods in three-manifold topology to the study of the presentation of the knot complement.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Applied Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2021

Author dc:creator

• Su, Lecheng

Contributors dc:contributor

• Mineyev, Igor

• 3-manifold, knot complement, cube complex, geometric group theory

Statement dc:rights

• Copyright 2021 Lecheng Su

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/110496

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/110496