Legendrian Lens Space Surgeries
نویسندگان
چکیده
منابع مشابه
Legendrian Surgeries on Stabilized Legendrian Links
We use Seiberg-Witten monopoles and Ozsváth-Szabó invariants to distinguish between tight contact structures obtained by Legendrian surgeries on stabilized Legendrian links in tight contact 3-manifolds.
متن کاملOn Legendrian Surgeries
We use the Ozsváth-Szabó contact invariants to distinguish between tight contact structures obtained by Legendrian surgeries on stabilized Legendrian links in tight contact 3-manifolds. We also discuss the implication of our result on the tight contact structures on the Brieskorn homology spheres −Σ(2, 3, 6n − 1).
متن کاملGrid Diagrams and Legendrian Lens Space Links
Grid diagrams encode useful geometric information about knots in S. In particular, they can be used to combinatorially define the knot Floer homology of a knot K ⊂ S [MOS06, MOST06], and they have a straightforward connection to Legendrian representatives of K ⊂ (S, ξst), where ξst is the standard, tight contact structure [Mat06, OST06]. The definition of a grid diagram was extended, in [BGH07]...
متن کاملLens space surgeries on A’Campo’s divide knots
It is proved that every knot in the major subfamilies of J. Berge’s lens space surgery (i.e., knots yielding a lens space by Dehn surgery) is presented by an L-shaped (real) plane curve as a divide knot defined by N. A’Campo in the context of singularity theory of complex curves. For each knot given by Berge’s parameters, the corresponding plane curve is constructed. The surgery coefficients ar...
متن کاملLens space surgeries and L-space homology spheres
We describe necessary and sufficient conditions for a knot in an L-space to have an L-space homology sphere surgery. We use these conditions to reformulate a conjecture of Berge about which knots in S admit lens space surgeries.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2018
ISSN: 0026-2285
DOI: 10.1307/mmj/1522980162