Legendrian solid-torus links
نویسندگان
چکیده
منابع مشابه
Legendrian Solid-torus Links
Differential graded algebra invariants are constructed for Legendrian links in the 1-jet space of the circle. In parallel to the theory for R, Poincaré–Chekanov polynomials and characteristic algebras can be associated to such links. The theory is applied to distinguish various knots, as well as links that are closures of Legendrian versions of rational tangles. For a large number of two-compon...
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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.
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Any link that is the closure of a positive braid has a natural Legendrian representative. These were introduced in [15], where their Chekanov– Eliashberg contact homology was also evaluated. In this paper we rephrase and improve that computation using a matrix representation. In particular, we present a way of finding all augmentations of such Legendrians, construct an augmentation which is als...
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Lisa Traynor has described an example of a two-component Legendrian ‘circular helix link’ Λ0 ⊔ Λ1 in the 1–jet space J(S) of the circle (with its canonical contact structure) that is topologically but not Legendrian isotopic to the link Λ1 ⊔ Λ0. We give a complete classification of the Legendrian realisations of this topological link type, as well as all other ‘cable links’ in J(S).
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Abstract. To an oriented link in a solid torus we associate a trace graph in a thickened torus in such a way that links are isotopic if and only if their trace graphs can be related by moves of finitely many standard types. The key ingredient is a study of codimension 2 singularities of link diagrams. For closed braids with a fixed number of strands, trace graphs can be recognized up to equival...
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ژورنال
عنوان ژورنال: Journal of Symplectic Geometry
سال: 2004
ISSN: 1527-5256,1540-2347
DOI: 10.4310/jsg.2004.v2.n3.a6