Corpus ID: 218900928

A note on HOMFLY polynomial of positive braid links

  title={A note on HOMFLY polynomial of positive braid links},
  author={Tetsuya Ito},
  journal={arXiv: Geometric Topology},
  • Tetsuya Ito
  • Published 27 May 2020
  • Mathematics
  • arXiv: Geometric Topology
For a positive braid link, a link represented as a closed positive braids, we determine the first few coefficients of its HOMFLY polynomial in terms of geometric invariants such as, the maximum euler characteristics, the number of split factors, and the number of prime factors. Our results gives improvements of known results for Conway and Jones polynomial of positive braid links. In Appendix, we present a simpler proof of theorem of Cromwell, a positive braid diagram represent composite link… 

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