2018/11/19 by Saswati Dhara, Dhara, Saswati, Romesh K. Kaul +5
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1811.07538
openalex publication_date 2018/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Construction of representations of braid group generators from N-state vertex models provide an elegant route to study knot and link invariants. Using such a braid group representation, an algebraic formula for the link invariants was put forth when the same spin (N-1)/2 are placed on all the component knots. In this paper, we generalise the procedure to deduce representations of braiding generators from bi-partite vertex models. Such a representation allows the study of multi-colored link invariants where the component knots carry different spins. We propose a multi-colored link invariant formula in terms of braiding generators derived from R matrices of bi-partite vertex models.