An affine index polynomial invariant and the forbidden move of virtual knots

Migiwa Sakurai

doi:10.1142/S0218216516500401

An affine index polynomial invariant and the forbidden move of virtual knots

Migiwa Sakurai

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Kauffman defines an affine index polynomial invariant for virtual knots. The invariant is induced from a numerical invariant called an n-writhe. In this paper, we provide the difference of the values obtained from invariants between two virtual knots which can be transformed into each other by a single forbidden move. As a result, we make it possible for many virtual knots to determine the unknotting numbers by forbidden moves.

Original language	English
Article number	1650040
Journal	Journal of Knot Theory and its Ramifications
Volume	25
Issue number	7
DOIs	https://doi.org/10.1142/S0218216516500401
Publication status	Published - 2016 Jun 1
Externally published	Yes

Keywords

Virtual knot
affine index polynomial invariant
forbidden move

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216516500401

Cite this

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KW - forbidden move

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An affine index polynomial invariant and the forbidden move of virtual knots

Abstract

Keywords

ASJC Scopus subject areas

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