Grid Diagrams, Braids, and Contact Geometry
Lenhard Ng, Dylan Thurston
TL;DR
This paper uses grid diagrams to unify the study of braids, Legendrian knots, and transverse knots within contact geometry, providing a comprehensive framework for understanding their relationships.
Contribution
It introduces a unified approach using grid diagrams to analyze braids and knots in contact geometry, bridging different knot representations.
Findings
Grid diagrams effectively represent braids and knots in contact geometry.
Unified framework simplifies understanding relationships among different knot types.
Potential applications in knot classification and contact topology.
Abstract
We use grid diagrams to present a unified picture of braids, Legendrian knots, and transverse knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Connective tissue disorders research