Weinstein -- Xu invariants and link group representations
A. A. Balinsky
TL;DR
This paper provides a topological interpretation of link invariants derived from Weinstein--Xu solutions of the quantum Yang-Baxter equation, connecting algebraic solutions to topological link properties.
Contribution
It introduces a topological perspective on Weinstein--Xu invariants, linking quantum algebra solutions to link group representations.
Findings
Establishes a correspondence between Weinstein--Xu invariants and link group representations
Provides a topological interpretation of quantum Yang-Baxter solutions
Enhances understanding of quantum invariants in knot theory
Abstract
Topological interpretation of the link invariants associated with the Weinstein--Xu classical solutions of the quantum Yang-Baxter equation are provided.
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Taxonomy
TopicsAdvanced Topics in Algebra · Topological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology