Estimates for the minimal crossing number
Abstract
In this paper I give estimates for the minimal crossing number, leading to a short proof that the crossing number is additive for torus links. These estimates are applied to several classes of links. Finally, I prove a part of a conjecture relating the HOMFLY polynomial and the Kauffman polynomial.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 2003
- DOI:
- 10.48550/arXiv.math/0303273
- arXiv:
- arXiv:math/0303273
- Bibcode:
- 2003math......3273G
- Keywords:
-
- Geometric Topology;
- 57M25
- E-Print:
- v3: minor change. Acknowledgement added. 11 pages, 6 figures