A note on lattice knots
Sasha Anan'in, Alexandre Grishkov, Dmitrii Korshunov
TL;DR
This paper observes that the complex set of Turing operations on lattice knots can be simplified to a single type of local switch, potentially streamlining computational approaches to knot theory.
Contribution
It introduces a reduction of Turing operations on lattice knots to one simple local switch, simplifying the computational framework.
Findings
Turing operations on lattice knots can be unified into a single local switch.
Simplification may impact computational methods in knot theory.
Potential for more efficient algorithms in lattice knot analysis.
Abstract
The aim of this note is to share the observation that the set of elementary operations of Turing on lattice knots can be reduced to just one type of simple local switches.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Geometric Analysis and Curvature Flows