CONWAY POLYNOMIAL OF A FIBERED SOLVABLE LINK

1999 ◽  
Vol 08 (04) ◽  
pp. 505-509 ◽  
Author(s):  
WALTER D. NEUMANN
Keyword(s):  
Algebraic Geometry ◽  
Potential Function ◽  
Conway Polynomial ◽  
Fibered Link

We compute Kauffman's potential function (equivalent to the Conway polynomial) for any solvable fibered link. Solvable links are links that can be built from the unknot by iterated cabling and summing. Links that arise in complex algebraic geometry are generally of this type.

SELF Ck-MOVE, QUASI SELF Ck-MOVE AND THE CONWAY POTENTIAL FUNCTION FOR LINKS

2004 ◽  
Vol 13 (07) ◽  
pp. 877-893
Author(s):  
TETSUO SHIBUYA ◽  
AKIRA YASUHARA
Keyword(s):  
Potential Function ◽  
Necessary Conditions ◽  
Alexander Polynomial ◽  
Necessary Condition ◽  
Conway Polynomial ◽  
Link Homotopy

Nakanishi and Shibuya gave a relation between link homotopy and quasi self delta-equivalence. And they also gave a necessary condition for two links to be self delta-equivalent by using the multivariable Alexander polynomial. Link homotopy and quasi self delta-equivalence are also called self C1-equivalence and quasi self C2-equivalence respectively. In this paper, we generalize their results. In Sec. 1, we give a relation between self Ck-equivalence and quasi self Ck+1-equivalence. In Secs. 2 and 3, we give necessary conditions for two links to be self Ck-equivalent by using the multivariable Conway potential function and the Conway polynomial respectively.

The Yukawa Potential Function and Reciprocal Univalent Function

2013 ◽  
Vol 3 (2) ◽  
pp. 197-202
Author(s):  
Amir Pishkoo ◽  
Maslina Darus
Keyword(s):  
Mathematical Model ◽  
Unit Disk ◽  
Potential Function ◽  
Univalent Function ◽  
Open Problem ◽  
Yukawa Potential ◽  
Reciprocal Theorem ◽  
Problem Statement ◽  
Fundamental Forces

This paper presents a mathematical model that provides analytic connection between four fundamental forces (interactions), by using modified reciprocal theorem,derived in the paper, as a convenient template. The essential premise of this work is to demonstrate that if we obtain with a form of the Yukawa potential function [as a meromorphic univalent function], we may eventually obtain the Coloumb Potential as a univalent function outside of the unit disk. Finally, we introduce the new problem statement about assigning Meijer's G-functions to Yukawa and Coloumb potentials as an open problem.

Reciprocal Polarizable Embedding with a Transferable H2O Potential Function I: Formulation & Tests on Dimer

2019 ◽  
Author(s):  
Elvar Jónsson ◽  
Asmus Ougaard Dohn ◽  
Hannes Jonsson
Keyword(s):  
Potential Function ◽  
Dft Method ◽  
Multipole Expansion ◽  
Energy Functional ◽  
Real Space ◽  
Functional Formulation ◽  
General Energy ◽  
Projector Augmented Wave ◽  
Grid Based ◽  
Polarizable Embedding

This work describes a general energy functional formulation of a polarizable embedding QM/MM scheme, as well as an implementation where a real-space Grid-based Projector Augmented Wave (GPAW) DFT method is coupled with a potential function for H<sub>2</sub>O based on a Single Center Multipole Expansion (SCME) of the electrostatics, including anisotropic dipole and quadrupole polarizability.

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