The Legendrian knot complement problem
From MaRDI portal
Publication:4645678
DOI10.1142/S0218216518500670zbMath1467.53088arXiv1604.05196MaRDI QIDQ4645678
Publication date: 10 January 2019
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.05196
Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Surgery and handlebodies (57R65) Contact manifolds (general theory) (53D10) Knot theory (57K10)
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ON OVERTWISTED CONTACT SURGERIES ⋮ Non-loose negative torus knots ⋮ Cosmetic contact surgeries along transverse knots and the knot complement problem ⋮ Computing rotation numbers in open books
Cites Work
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- Exceptional cosmetic surgeries on \(S^{3}\)
- Heegaard Floer homology and knots determined by their complements
- Contact structures on open 3-manifolds
- Cosmetic surgeries on genus one knots
- On tunnel number one links with surgeries yielding the 3-sphere
- On the knot complement problem for non-hyperbolic knots
- Topologically trivial Legendrian knots
- Heegard Floer invariants of Legendrian knots in contact three-manifolds
- Foliations and the topology of 3-manifolds. II
- Surgery on knots in solid tori
- Contact 3-manifolds twenty years since J. Martinet's work
- On the classification of tight contact structures. I
- Cosmetic banding on knots and links
- Computing the Thurston-Bennequin invariant in open books
- Computing rotation and self-linking numbers in contact surgery diagrams
- Non-loose unknots, overtwisted discs, and the contact mapping class group of \(S^3\)
- Knots and contact geometry. I: Torus knots and the figure eight knot.
- Contact surgery and supporting open books
- The knots in \(D^ 2\times S^ 1\) which have nontrivial Dehn surgeries that yield \(D^ 2\times S^ 1\)
- Legendrian rational unknots in Lens spaces
- Grid diagrams and Legendrian lens space links
- New Invariants of Open Symplectic and Contact Manifolds
- The diffeotopy group of S1×S2 via contact topology
- Knots are Determined by Their Complements
- CLOSED 3–MANIFOLDS UNCHANGED BY DEHN SURGERY
- Tight contact structures on solid tori
- ON NON-SIMPLE REFLEXIVE LINKS
- Links with surgery yielding the 3-sphere
- Computing rotation numbers in open books
- A Legendrian surgery presentation of contact 3-manifolds
- An Introduction to Contact Topology
- Concentricity in 3-Manifolds
- On Doubled Knots
- Symplectic fillability of tight contact structures on torus bundles