搜索结果: 1-10 共查到“拓扑学 knots”相关记录10条 . 查询时间(0.176 秒)
Got rope? Then try this experiment: Cross both ends, left over right, then bring the left end under and out, as if tying a pair of shoelaces. If you repeat this sequence, you get what’s called a “gran...
Seifert fibered surgery on Montesinos knots
Exceptional Dehn surgery hyperbolic knots Montesinos knots
2012/7/11
Exceptional Dehn surgeries on arborescent knots have been classified except for Seifert fibered surgeries on Montesinos knots of length 3. There are infinitely many of them as it is known that 4n+6 an...
Twisted Alexander polynomials of 2-bridge knots
Twisted Alexander polynomials 2-bridge knots Geometric Topology
2012/6/30
We investigate the twisted Alexander polynomial of a 2-bridge knot associated to a Fox coloring. For several families of 2-bridge knots, including but not limited to, torus knots and genus-one knots, ...
Unknotting numbers and triple point cancelling numbers of torus-covering knots
Surface knot 2-dimensional braid quandle cocycle invariant unknotting number triple point cancelling number
2012/6/21
It is known that any surface knot can be transformed to an unknotted surface knot or a surface knot which has a diagram with no triple points by a finite number of 1-handle additions. The minimum numb...
This thesis develops some general calculational techniques for finding the orders of knots in the topological concordance group C. The techniques currently available in the literature are either too t...
Arc index of pretzel knots of type $(-p,q,r)$
knot pretzel knot arc presentation arc index Kauffman polynomial
2012/4/18
We computed the arc index for the pretzel knots $K=P(-p,q,r)$ with $p,q,r\ge2$, $r\geq q$ and at most one of $p,q,r$ is even. If $q=2$, then the arc index $\alpha(K)$ equals the minimal crossing numbe...
On Virtual Crossing Numbers for Virtual Knots
Knot virtual knot graph crossing number parity
2011/9/20
Abstract: The aim of the present paper is to prove that the minimal number of virtual crossings for some families of virtual knots grows quadratically with respect to the minimal number of classical c...
Cosmetic crossings of genus one knots
cosmetic crossing nugatory crossing Thurston norm pretzel knot Whitehead double
2011/9/1
Abstract: We show that for genus one knots the Alexander polynomial and the homology of the double cover branching over the knot provide obstructions to cosmetic crossings. As an application we prove ...
Unknotting and Ascending Numbers of Knots and their Families
Conway notation knot family signature unknotting number ascending number
2011/9/1
Abstract: Ascending numbers are determined for 64 knots with at most n=10 crossings. After proving the theorem about the signature of alternating knot families, we distinguished all families of knots ...
Hyperbolicity and identification of Berge knots of types VII and VIII
doubly primitive knot Alexander polynomial Reidemeister torsion
2011/8/23
Abstract: T. Saito and M. Teragaito asked in their paper whether Berge knots of type VII, which can be situated on the fiber surface of the lefthand trefoil, are hyperbolic, and showed that some infin...