The writhes of a virtual knot

作者：Satoh Shin^*; Taniguchi Kenta

来源：Fundamenta Mathematicae, 2014, 225(1): 327-341.

DOI：10.4064/fm225-1-15

• virtual knot
• Gauss diagram
• index
• writhe
• crossing change
• Delta-move

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.

• 出版日期2014