TL;DR
This paper provides a geometric proof linking Lorenz links and twisted links via grid diagrams, offering a clearer understanding of their equivalence originally established algebraically.
Contribution
It introduces a geometric approach using grid diagrams to prove the equivalence of Lorenz links and twisted links, clarifying the original algebraic proof.
Findings
Lorenz links are equivalent to twisted links
Grid diagrams can represent Lorenz links geometrically
Provides a transparent geometric proof of Birman-Kofman's result
Abstract
In paper "A new twist on Lorenz links" (Journal of Topology 2(2009), 227-248) Joan Birman and Ilya Kofman prove the coincidence of the class of Lorenz links and the class of twisted links. The proof in that work is algebraic. We will identify this class in terms of grid diagrams and provide a transparent geometric argument for Birman-Kofman's result.
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