Back to Search
Start Over
The HOMFLY polynomial of links in closed braid form.
- Source :
-
Discrete Mathematics . Jan2019, Vol. 342 Issue 1, p190-200. 11p. - Publication Year :
- 2019
-
Abstract
- Abstract We provide a new proof of Jaeger's formula expressing the HOMFLY polynomial of a link presented in closed braid form, replacing the original representation theoretic proof with an easy combinatorial and geometric argument. Using new variants of Jaeger's result we provide a direct and elementary proof of the fact that the braid index of a link that has an n -string closed braid diagram that is also reduced and alternating, is exactly n. Until now this fact was only known as a consequence of a result due to Murasugi on fibered links that are star products of elementary torus links and of the fact that alternating braids are fibered. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*COMBINATORICS
*GEOMETRY
*CHARTS, diagrams, etc.
*MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 342
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 132919165
- Full Text :
- https://doi.org/10.1016/j.disc.2018.09.027