The writhes of a virtual knot

Shin Satoh, and Kenta Taniguchi. "The writhes of a virtual knot." Fundamenta Mathematicae 225.0 (2014): 327-341. <http://eudml.org/doc/282834>.

@article{ShinSatoh2014,
abstract = {Kauffman introduced a fundamental invariant of a virtual knot called the odd writhe. There are several generalizations of the odd writhe, such as the index polynomial and the odd writhe polynomial. In this paper, we define the n-writhe for each non-zero integer n, which unifies these invariants, and study various properties of the n-writhe.},
author = {Shin Satoh, Kenta Taniguchi},
journal = {Fundamenta Mathematicae},
keywords = {virtual knot; Gauss diagram; index; writhe; crossing change; - move},
language = {eng},
number = {0},
pages = {327-341},
title = {The writhes of a virtual knot},
url = {http://eudml.org/doc/282834},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Shin Satoh
AU - Kenta Taniguchi
TI - The writhes of a virtual knot
JO - Fundamenta Mathematicae
PY - 2014
VL - 225
IS - 0
SP - 327
EP - 341
AB - Kauffman introduced a fundamental invariant of a virtual knot called the odd writhe. There are several generalizations of the odd writhe, such as the index polynomial and the odd writhe polynomial. In this paper, we define the n-writhe for each non-zero integer n, which unifies these invariants, and study various properties of the n-writhe.
LA - eng
KW - virtual knot; Gauss diagram; index; writhe; crossing change; - move
UR - http://eudml.org/doc/282834
ER -