منابع مشابه
Legendrian 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 کاملHomology of torus links
In this paper we show that there is a cut-off in the Khovanov homology of (2k, 2kn)-torus links, namely that the maximal homological degree of non-zero homology group of (2k, 2kn)-torus link is 2kn. Furthermore, we calculate explicitely the homology groups in homological degree 2kn and prove that it coincides with the centre of the ring H of crossingless matchings, introduced by M. Khovanov in ...
متن کاملVolume Bounds for Generalized Twisted Torus Links
Twisted torus knots and links are given by twisting adjacent strands of a torus link. They are geometrically simple and contain many examples of the smallest volume hyperbolic knots. Many are also Lorenz links. We study the geometry of twisted torus links and related generalizations. We determine upper bounds on their hyperbolic volumes that depend only on the number of strands being twisted. W...
متن کاملSpherical structures on torus knots and links
The present paper considers two infinite families of cone-manifolds endowed with spherical metric. The singular strata is either the torus knot t(2n + 1, 2) or the torus link t(2n, 2). Domains of existence for a spherical metric are found in terms of cone angles and volume formulæ are presented.
متن کاملOn the hull numbers of torus links
Introduced in [1] by Jason Cantarella, Greg Kuperberg, Robert B. Kusner, and John M. Sullivan, the hull number is a complexity measure for links similar to the bridge number. By definition, it is the maximum integer n such that for any realization of the link there is a point c ∈ R such that any plane through c intersects the curves representing the link at least 2n times. Clearly, the hull num...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2012
ISSN: 0024-6093
DOI: 10.1112/blms/bds044