English

Colored Morton-Franks-Williams inequalities

Geometric Topology 2011-02-04 v1

Abstract

We generalize the Morton-Franks-Williams inequality to the colored sl(N)\mathfrak{sl}(N) link homology defined in arXiv:0907.0695, which gives infinitely many new bounds for the braid index and the self linking number. A key ingredient of our proof is a composition product for the general MOY graph polynomial, which generalizes that of Wagner arXiv:math/0702230v1.

Keywords

Cite

@article{arxiv.1102.0586,
  title  = {Colored Morton-Franks-Williams inequalities},
  author = {Hao Wu},
  journal= {arXiv preprint arXiv:1102.0586},
  year   = {2011}
}

Comments

17 pages

R2 v1 2026-06-21T17:20:54.934Z