Three-partite vertex model and knot invariants

dc.contributor.author	Kassenova, T.K.
dc.contributor.author	Tsyba, P.Yu.
dc.contributor.author	Razina, O.V.
dc.contributor.author	Myrzakulov, R.
dc.date.accessioned	2024-12-13T08:34:56Z
dc.date.available	2024-12-13T08:34:56Z
dc.date.issued	2022
dc.identifier.issn	0378-4371
dc.identifier.other	doi.org/10.1016/j.physa.2022.127283
dc.identifier.uri	http://rep.enu.kz/handle/enu/20215
dc.description.abstract	This work is dedicated to the consideration of the construction of a representation of braid group generators from vertex models with N-states, which provides a great way to study the knot invariant. An algebraic formula is proposed for the knot invariant when different spins (N − 1)/2 are located on all components of the knot. The work summarizes procedure outputting braid generator representations from three-partite vertex model. This representation made it possible to study the invariant of a knot with multi-colored links, where the components of the knot have different spins. The formula for the invariant of knot with a multi-colored link is studied from the point of view of the braid generators obtained from the R-matrices of three-partite vertex models. The resulting knot invariant 52 corresponds to the Jones polynomial and HOMFLY-PT.	ru
dc.language.iso	en	ru
dc.publisher	Physica A	ru
dc.relation.ispartofseries	597 (2022) 127283;
dc.subject	Vertex model	ru
dc.subject	Braid group	ru
dc.subject	Knots theory	ru
dc.title	Three-partite vertex model and knot invariants	ru
dc.type	Article	ru