Catalan states of lattice crossing: an application of plucking
Mieczysław K. Dąbkowski , Józef Henryk Przytycki
AbstractFor a Catalan state C of a lattice crossing with no returns on one side, we find its coefficient in the Relative Kauffman Bracket Skein Module expansion of . We show, in particular, that can be found using the plucking polynomial of a rooted tree with a delay function associated to C. Furthermore, for C with returns on one side only, we prove that is a product of Gaussian polynomials, and its coefficients form a unimodal sequence.
|Journal series||Topology and its Applications, ISSN 0166-8641, e-ISSN 1879-3207, (N/A 70 pkt)|
|Publication size in sheets||0.8|
|Keywords in English||Catalan states, Gaussian polynomial, knot, Kauffman bracket, link, lattice crossing, plucking polynomial, rooted tree, skein module, unimodal polynomial|
|Score||= 70.0, 28-01-2020, ArticleFromJournal|
|Publication indicators||: 2017 = 1.051; : 2018 = 0.416 (2) - 2018=0.438 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.