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 کاملBraid-positive Legendrian links
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...
متن کاملLegendrian 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...
متن کاملLegendrian and Transverse Twist Knots
In 1997, Chekanov gave the first example of a Legendrian nonsimple knot type: the m(52) knot. Epstein, Fuchs, and Meyer extended his result by showing that there are at least n different Legendrian representatives with maximal Thurston–Bennequin number of the twist knot K−2n with crossing number 2n+1. In this paper we give a complete classification of Legendrian and transverse representatives o...
متن کاملLegendrian Helix and Cable Links
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).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Sibirskie Elektronnye Matematicheskie Izvestiya
سال: 2019
ISSN: 1813-3304
DOI: 10.33048/semi.2019.16.141