A G-Family of Singquandles and Invariants of Dichromatic Singular links
Mohd Ibrahim Sheikh, Mohamed Elhamdadi, Danish Ali
TL;DR
This paper introduces dichromatic singular links and develops a new G-Family of singquandles to create invariants that can distinguish these links, expanding the tools for link classification.
Contribution
The paper presents a novel G-Family of singquandles and their application to defining invariants for unoriented dichromatic singular links, a new class of links.
Findings
Invariants distinguish some dichromatic singular links
Construction of G-Family of singquandles
Examples demonstrating effectiveness of invariants
Abstract
We introduce and investigate dichromatic singular links. We also construct G-Family of singquandles and use them to define counting invariants for unoriented dichromatic singular links. We provide some examples to show that these invariants distinguish some dichromatic singular links.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Advanced Graph Theory Research