A Legendrian knot atlas for knots of arc index 10
Ina Petkova, Noah Schwartz
TL;DR
This paper extends the existing Legendrian knot atlas to include knots with an arc index of 10, providing a more comprehensive classification in standard contact three-space.
Contribution
It introduces the first comprehensive Legendrian knot atlas for knots with arc index 10, expanding the known classifications.
Findings
Expanded Legendrian knot atlas to arc index 10
Classified new Legendrian knots in standard contact three-space
Enhanced understanding of Legendrian knot structures
Abstract
We expand the atlas of Legendrian knots in standard contact three-space to knots of arc index 10.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Botulinum Toxin and Related Neurological Disorders