Legendrian graphs and quasipositive diagrams
نویسندگان
چکیده
منابع مشابه
Legendrian Graphs and Quasipositive Diagrams
In this paper we clarify the relationship between ribbon surfaces of Legendrian graphs and quasipositive diagrams by using certain fence diagrams. As an application, we give an alternative proof of a theorem concerning a relationship between quasipositive fiber surfaces and contact structures on S. We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.
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 کاملInvariants of Legendrian Knots and Decompositions of Front Diagrams
The authors prove that the sufficient condition for the existence of an augmentation of the Chekanov–Eliashberg differential algebra of a Legendrian knot, which is contained in a recent work of the first author, is also necessary. As a by-product, the authors describe an algorithm for calculating Chekanov–Eliashberg invariants in terms of the front diagram of a Legendrian knot. 2000 Math. Subj....
متن کاملOn Rectangular Diagrams, Legendrian Knots and Transverse Knots
A correspondence is studied in [7] between front projections of Legendrian links in (R, ξstd) and rectangular diagrams. In this paper, we introduce braided rectangular diagrams, and study a relationship with Legendrian links in (R, ξsym). We show Alexander and Markov Theorems for Legendrian links in (R, ξsym). We review a relationship between front projections of Legendrian links in (R, ξstd) a...
متن کاملQuasipositive Annuli (constructions of Quasipositive Knots and Links, Iv)
The modulus of quasipositivity q(K) of a knot K was introduced as a tool in the knot theory of complex plane curves, and can be applied to Legendrian knot theory in symplectic topology. It has also, however, a straightforward characterization in ordinary knot theory: q(K) is the supremum of the integers f such that the framed knot (K, f) embeds non-trivially on a fiber surface of a positive tor...
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: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2009
ISSN: 0240-2963
DOI: 10.5802/afst.1207