Legendrian Surgeries on Stabilized Legendrian Links
نویسنده
چکیده
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.
منابع مشابه
On 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 کاملThe Legendrian Satellite Construction
The spaces R3 and S1 ×R2 both have a standard contact structure given by the kernel of the 1form dz−y dx, where we view the solid torus S1×R2 as R3 modulo the relation (x, y, z) ∼ (x+1, y, z). We will assume that the reader is familiar with some basic concepts in Legendrian knot theory, such as front projections, the Thurston-Bennequin number, and the rotation number; see, e.g., [8], which we w...
متن کاملClassification of Legendrian Knots and Links
The aim of this paper is to use computer program to generate and classify Legendrian knots and links. Modifying the algorithm in [11], we write a program in Java to generate all grid diagrams of up to size 10. Since classification of Legendrian links up to Legendrian isotopy is equivalent to grid diagrams modulo a set of Cromwell moves including translation, commutation and X:NE,X:SW (de)stabil...
متن کاملPolynomial Invariants of Legendrian Links and Plane Fronts
We show that the framed versions of the Kauuman and HOMFLY poly-nomials of a Legendrian link in the standard contact 3-space and solid torus are genuine polynomials in the framing variable. This proves a series of conjectures of 5] and provides estimates for the Bennequin{Tabachnikov numbers of such links. In a series of recent papers 1{3], V. I. Arnold revived interest in the study of plane cu...
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
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005