scholarly journals Linking numbers and nucleosomes.

1976 ◽  
Vol 73 (8) ◽  
pp. 2639-2643 ◽  
Author(s):  
F. H. Crick
Keyword(s):  
Linking Numbers

Linking Numbers of Klein Links

2021 ◽  
Vol 52 (2) ◽  
pp. 106-114
Author(s):  
Steven Beres ◽  
Vesta Coufal ◽  
Kate Kearney ◽  
Ryan Lattanzi ◽  
Hayley Olson
Keyword(s):  
Linking Numbers

scholarly journals Algebraic linking numbers of knots in 3–manifolds

2003 ◽  
Vol 3 (2) ◽  
pp. 921-968 ◽  
Author(s):  
Rob Schneiderman
Keyword(s):  
Linking Numbers

scholarly journals Computing linking numbers of a filtration

2003 ◽  
Vol 5 (2) ◽  
pp. 19-37 ◽  
Author(s):  
Herbert Edelsbrunner ◽  
Afra Zomorodian
Keyword(s):  
Linking Numbers

HIGHER ORDER LINKING NUMBERS

1998 ◽  
Vol 07 (03) ◽  
pp. 393-414 ◽  
Author(s):  
W. S. MASSEY
Keyword(s):  
Higher Order ◽  
Linking Numbers

Enhanced Linking Numbers

2003 ◽  
Vol 110 (5) ◽  
pp. 361-385 ◽  
Author(s):  
Charles Livingston
Keyword(s):  
Linking Numbers

scholarly journals A LINKING NUMBER DEFINITION OF THE AFFINE INDEX POLYNOMIAL AND APPLICATIONS

2013 ◽  
Vol 22 (12) ◽  
pp. 1341004 ◽  
Author(s):  
LENA C. FOLWACZNY ◽  
LOUIS H. KAUFFMAN
Keyword(s):  
Virtual Knots ◽  
Linking Number ◽  
Linking Numbers ◽  
Vassiliev Invariant ◽  
Definition Of

This paper gives an alternate definition of the Affine Index Polynomial (called the Wriggle Polynomial) using virtual linking numbers and explores applications of this polynomial. In particular, it proves the Cosmetic Crossing Change Conjecture for odd virtual knots and pure virtual knots. It also demonstrates that the polynomial can detect mutations by positive rotation and proves it cannot detect mutations by positive reflection. Finally it exhibits a pair of mutant knots that can be distinguished by a type 2 vassiliev invariant coming from the polynomial.

The generalized Alexander polynomial of periodic virtual links

2019 ◽  
Vol 28 (06) ◽  
pp. 1950042
Author(s):  
Joonoh Kim ◽  
Kyoung-Tark Kim ◽  
Mi Hwa Shin
Keyword(s):  
Alexander Polynomial ◽  
State Model ◽  
Quantum Algebras ◽  
Virtual Link ◽  
Linking Numbers ◽  
Virtual Links ◽  
Polynomial Formula

In this paper, we give several simple criteria to detect possible periods and linking numbers for a given virtual link. We investigate the behavior of the generalized Alexander polynomial [Formula: see text] of a periodic virtual link [Formula: see text] via its Yang–Baxter state model given in [L. H. Kauffman and D. E. Radford, Bi-oriented quantum algebras and a generalized Alexander polynomial for virtual links, in Diagrammatic Morphisms and Applications, Contemp. Math. 318 (2003) 113–140, arXiv:math/0112280v2 [math.GT] 31 Dec 2001].

Sign in / Sign up

Export Citation Format

Share Document