منابع مشابه
Transversal Torus Knots
We classify positive transversal torus knots in tight contact structures up to transversal isotopy.
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Contact structures on manifolds and Legendrian and transversal knots in them are very natural objects, born over two centuries ago, in the work of Huygens, Hamilton and Jacobi on geometric optics and work of Lie on partial differential equations. They touch on diverse areas of mathematics and physics, and have deep connections with topology and dynamics in low dimensions. The study of Legendria...
متن کاملVassiliev Invariants for Torus Knots
Vassiliev invariants up to order six for arbitrary torus knots {n,m}, with n and m coprime integers, are computed. These invariants are polynomials in n and m whose degree coincide with their order. Furthermore, they turn out to be integer-valued in a normalization previously proposed by the authors. ⋆ e-mail: [email protected]
متن کاملHomological thickness of torus knots
In this paper we show that the torus knots Tp,q for 3 ≤ p ≤ q are homologically thick. Even more, we show that we can reduce the number of twists q without changing certain part of homology, and consequently we show that there exists stable homology for torus knots conjectured in [4]. Also, we calculate Khovanov homology groups of low homological degree for torus knots, and we conjecture that t...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 1999
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.1999.3.253