Grid Diagrams, Braids, and Contact Geometry
arXiv:0812.3665
Abstract
We use grid diagrams to present a unified picture of braids, Legendrian knots, and transverse knots.
14 pages, 12 figures, to appear in proceedings of the 2008 Gokova Geometry/Topology Conference; v2: minor changes following referee comments
References in corpus (1)
Cited by in corpus (12)
- Combinatorial knot contact homology and transverse knots
- An atlas of Legendrian knots
- On the equivalence of Legendrian and transverse invariants in knot Floer homology
- On transverse invariants from Khovanov homology
- Sutured Floer homology and invariants of Legendrian and transverse knots
- Bennequin type inequalities in lens spaces
- Small examples of cube diagrams of knots
- Rectangular diagrams of surfaces: representability
- Embedded and Lagrangian Knotted Tori in $\BR^4$ and Hypercube Homology
- Flat plumbing basket and contact structure
- A Combinatorial Description of the Knot Concordance Invariant Epsilon
- An odd analog of Plamenevskaya's invariant of transverse knots