TL;DR
This paper introduces a new approach using virtual quandles with two operations to distinguish long virtual knots, contributing to knot theory by providing a novel invariant.
Contribution
It develops a specific invariant based on virtual quandles with two operations to differentiate long virtual knots.
Findings
Successfully distinguishes certain long virtual knots
Provides a new invariant for virtual knot classification
Enhances understanding of virtual quandle structures
Abstract
Virtual quandles with two operations are discussed in the article. Certain knot invariant is constructed and used to distinguish two long virtual knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Algebraic structures and combinatorial models