The writhes of a virtual knot
Volume 225 / 2014
Fundamenta Mathematicae 225 (2014), 327-341
MSC: Primary 57M25; Secondary 57Q35.
DOI: 10.4064/fm225-1-15
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.
