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ON CONWAY’S POTEN TIA L FUNCTION FOR COLORED LINKS
colored links Conway potential function Alexander polynomial skein relations
2014/10/10
The Conway potential function (CPF) for colored links is a convenient version of the multi-variable Alexander-Conway polynomial. We give a skein characterization of CPF which is much simpler than the ...
We show that there are only finitely many homogeneous links whose Conway polynomial has any given degree. Using this we give an example of an inhomogeneous, fibred knot. Secondly, we show how to compu...
Abstract: Let L \subset S^3 denote an alternating link and Sigma(L) its branched double-cover. We give a short proof of the fact that the fundamental group of Sigma(L) admits a left-ordering iff L is ...
Abstract: Agol has conjectured that minimally twisted n-chain links are the smallest volume hyperbolic manifolds with n cusps, for n at most 10. In his thesis, Venzke mentions that these cannot be sma...
Classification of 3-bridge spheres of 3-bridge arborescent links
3-bridge spheres 3-bridge arborescent links Geometric Topology
2011/8/26
Abstract: In this paper, we give an isotopy classification of 3-bridge spheres of 3-bridge arborescent links, which are not Montesinos links. To this end, we prove a certain refinement of a theorem of...
Exceptional surgeries on components of two-bridge links
Dehn surgery, exceptional surgery, 2-bridge link
2011/8/24
Abstract: In this paper, we give a complete classification of exceptional Dehn surgeries on a component of a hyperbolic two-bridge link in the 3-sphere.
Amphicheiral links with special properties, II
amphicheiral link Jones polynomial HOMFLY polynomial Alexander polynomial
2011/8/23
Abstract: We determine prime amphicheiral links with at least 2 components and up to 11 crossings. There are 27 such links. We check also special amphicheiralities. Most of prime links with up to 11 c...
Amphicheiral links with special properties, I
algebraically split link amphicheiral link invertible link Alexander polynomial Reidemeister torsion
2011/8/23
Abstract: We provide necessary conditions for the Alexander polynomials of algebraically split component-preservingly amphicheiral links. We raise a conjecture that the Alexander polynomial of an alge...
Let K be a tunnel number one, bered link in S3, with ber F, and unknotting tunnel . We show that can be isotoped to lie in F.
Smooth concordance of links topologically concordant to the Hopf link
Smooth concordance of links Hopf link
2011/1/20
It was shown by Jim Davis that a 2-component link with Alexander polynomial one is topologically concordant to the Hopf link. In this paper, we show that there is a 2-component link with Alexander pol...
On the Spectral Efficiency of Links with Multi-antenna Receivers in Non-homogenous Wireless Networks
Spectral Efficiency of Links Multi-antenna Receivers Non-homogenous Wireless Networks
2011/1/19
An asymptotic technique is developed to find the Signal-to-Interference-plus-Noise-Ratio (SINR) and spectral efficiency of a link with N receiver antennas in wireless networks
with non-homogeneous di...
The SO(3) Kauffman polynomial and the chromatic polynomial of planar graphs are categorified by a unique extension of the Khovanov homology framework. Many structural observations and computations of ...
Hybrid FEC/ARQ performance and audio quality over wireless links
Hybrid FEC/ ARQ Markov Model audio quality
2010/9/25
Real time flows transmission over wireless networks often suffers from packet loss, delay and jitter. The main problem to implement a wireless network is the high and variable bit error rate in the ra...
An Injectivity Theorem for Casson-Gordon Type Representations relating to the Concordance of Knots and Links
Injectivity Theorem Casson-Gordon Type Representations Concordance of Knots and Links
2010/11/24
In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let $\pi$ be a group and let $M \to N$ be a homomorphism between project...
Generic deformations of the colored sl(N)-homology for links
the colored sl(N)-homology for links math
2010/11/15
We generalize the works of Lee [arXiv:math/0210213v3] and Gornik [arXiv:math/0402266v2] to construct a basis for generic deformations of the colored sl(N)-homology defined in [arXiv:1002.2662v1]. As a...