Knot invariants for rail knotoids
Dimitrios Kodokostas, Sofia Lambropoulou
TL;DR
This paper introduces a novel method for deriving invariants of rail knotoids by associating them with specific knots, enabling their classification under rail isotopy.
Contribution
It presents a new approach to defining invariants for rail knotoids through associations with knots, expanding the tools for their analysis.
Findings
Defined invariants for rail knotoids based on associated knots
Translated invariants to rail isotopy for rail arcs
Provided a framework for classifying rail knotoids
Abstract
To each rail knotoid we associate two unoriented knots along with their oriented counterparts, thus deriving invariants for rail knotoids based on these associations. We then translate them to invariants of rail isotopy for rail arcs.
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Taxonomy
TopicsGeometric and Algebraic Topology · Lexicography and Language Studies · Historical Linguistics and Language Studies