منابع مشابه
Linear Legendrian curves in T³
Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on T 3. Some of the knot types considered in this article provide new examples of non transversally simple knot types.
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We introduce invariants of 2-component fronts similar to Arnold's 1] invariants J following approach of Viro 22] and generalize Viro's formulas to invariants of 1 and 2-component 0-homologous fronts on surfaces of non-zero Euler characteristic. We modify Turaev's construction 19] of link shadows and deene shadows of Legendrian links in ST S 2. This enables us to relate integral formulas for J +...
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We resolve a question of Fuchs and Tabachnikov by showing that there is a Legendrian knot in standard contact R with zero Maslov number which is not Legendrian isotopic to its mirror. The proof uses the differential graded algebras of Chekanov. A Legendrian knot in standard contact R is a knot which is everywhere tangent to the two-plane distribution induced by the contact one-form dz− y dx. Tw...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2006
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004105009151