Coloring link diagrams and Conway-type polynomial of braids

Research output: Contribution to journalArticlepeer-review


In this paper we define and present a simple combinatorial formula for a 3-variable Laurent polynomial invariant I(a, z, t) of conjugacy classes in Artin braid group Bm. We show that the Laurent polynomial I(a, z, t) satisfies the Conway skein relation and the coefficients of the 1-variable polynomial t-kI(a, z, t)|a=1,t=0 are Vassiliev invariants of braids.

Original languageEnglish
Pages (from-to)141-158
Number of pages18
JournalTopology and its Applications
Issue number1
StatePublished - 1 Jan 2014
Externally publishedYes


  • Braid groups
  • Finite type or Vassiliev invariants
  • HOMFLY-PT and Conway polynomials
  • Knots

ASJC Scopus subject areas

  • Geometry and Topology


Dive into the research topics of 'Coloring link diagrams and Conway-type polynomial of braids'. Together they form a unique fingerprint.

Cite this