Handle moves in contact surgery diagrams
By Fan Ding, Hansjörg Geiges. 2008
57 citations recorded by the source corpus.
We describe various handle moves in contact surgery diagrams, notably contact analogues of the Kirby moves. As an application of these handle moves, we discuss the classification of loose Legendrian knots. Along the way, we prove a one‐to‐one correspondence (up to Legendrian isotopy) between long Legendrian knots in 3‐space and their completion in the 3‐sphere.
Subfields: Genetics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1ce1a2d15d85b1da6378960802d5b626c768b95b
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In Genetics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Legendrian fronts for affine varieties (2016, background): “On the other, each component of Λ̃ \ U is also loose, or a full stabilization of itself, in the complement of the other components: in this case this is because each component of the complement Λ̃ \ U is the Legendrian lift of a zero section in a plumbing of spheres, and the Lagrangian cofiber…”
- Planar open books, monodromy factorizations and symplectic fillings (2009, unknown): “This is possible because the standard Legendrian meridian and the push-off of a Legendrian knot are Legendrian isotopic in the manifold obtained by Legendrian surgery on this knot [2].”