A survey of the impact of Thurston's work on Knot Theory
Abstract
This is a survey of the impact of Thurston's work on knot theory, laying emphasis on the two characteristic features, rigidity and flexibility, of 3-dimensional hyperbolic structures. We also lay emphasis on the role of the classical invariants, the Alexander polynomial and the homology of finite branched/unbranched coverings.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2020
- DOI:
- 10.48550/arXiv.2002.00564
- arXiv:
- arXiv:2002.00564
- Bibcode:
- 2020arXiv200200564S
- Keywords:
-
- Mathematics - Geometric Topology;
- 57M25;
- 57M50
- E-Print:
- 97 pages, 12 figures