منابع مشابه
Volume Bounds for Weaving Knots
Weaving knots are alternating knots with the same projection as torus knots, and were conjectured by X.-S. Lin to be among the maximum volume knots for fixed crossing number. We provide the first asymptotically correct volume bounds for weaving knots, and we prove that the infinite weave is their geometric limit.
متن کاملp-Colorings of Weaving Knots
We explore the p-colorability of a family of knots known as weaving knots. First, we show some general results pertaining to p-coloring any (m, n) weaving knot. We then determine the p-colorability of any (m, 3) weaving knot, and designate these p-colorings into two separate types, whose characteristics we begin to explore. We also partially classify some of the p-colorings for any (m, n) weavi...
متن کاملOn the Volume Conjecture for Hyperbolic Knots
In [1], R.M. Kashaev introduced certain invariants of oriented links motivated by his study of quantum dilogarithm functions. Since the classical dilogarithm functions are related to the hyperbolic volumes, he naturally expected that, for hyperbolic knots, the asymptotic behaviors of his invariants determine their volumes, which is in fact confirmed for a few hyperbolic knots by himself in [2]....
متن کاملDeveloping a Model for Estimating Weaving and Non-Weaving Speed within Highways Weaving Segments (Tehran)
In weaving section due to a strong need for lane changing, a type of turbulence is created in traffic flow; so, the speedand the capacity of the weaving section decreases. Therefore, investigation of the weaving section is very important.However, due to shortage of the manual for urban principal arterials (highways), calibration of these models is necessary.One of these models...
متن کاملTopology bounds energy of knots and links
In this paper, we determine two quantities, of geometric and topological character, that were left undetermined in two previous results obtained byArnold (Arnold 1974 InProc. Summer School inDiff.Eqs. atDilizhan, pp. 229–256.) andMoffatt (Moffatt 1990Nature347, 367–369) on lower bounds for the magnetic energy of knots and links in ideal fluids. For dissipative systems, a lower bound on magnetic...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2016
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2016.16.3301