The writhes of a virtual knot

• Autorzy: Shin Satoh , Kenta Taniguchi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57Q35: Embeddings and immersions
• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 225
• Numer: 1
• Strony: 327-341

Daty

wydano

2014

Twórcy

autor

Shin Satoh

• Department of Mathematics, Kobe University, Rokkodai-cho 1-1, Nada-ku, Kobe 657-0013, Japan

autor

Kenta Taniguchi

• Department of Mathematics, Kobe University, Rokkodai-cho 1-1, Nada-ku, Kobe 657-0013, Japan

Identyfikatory

DOI

10.4064/fm225-1-15