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On Determinant of Checkerboard Colorable Virtual Knots by Hatano, Tomoaki; Nozaki, Yuta is a scholarly article available to read on EtoBox.

What is On Determinant of Checkerboard Colorable Virtual Knots about?

For classical knots, it is well known that their determinants mod $8$ are classified by the Arf invariant. Boden and Karimi introduced a determinant of checkerboard colorable virtual knots. We prove that their determinant mod $8$ is classified by the coefficient of $z^2$ in the ascending polynomial which is an extension of the Conway polynomial for classical knots.

Author

Hatano, Tomoaki; Nozaki, Yuta

Published

2024

Language

EN