An Affine Index Polynomial Invariant of Virtual Knots
By Louis H. Kauffman. 2012
91 citations recorded by the source corpus.
This paper describes a polynomial invariant of virtual knots that is defined in terms of an integer labeling of the virtual knot diagram. This labeling is seen to derive from an essentially unique structure of affine flat biquandle for flat virtual diagrams. The invariant is discussed in detail with many examples,including its relation to previous invariants of this type and we show how to construct Vassiliev invariants from the same data.
Subfields: Computer Graphics and Computer-Aided Design, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/7a32c081cb93a1c4350bf5007eda00aad9a971c1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computer Graphics and Computer-Aided Design
In Discrete Mathematics and Combinatorics
In Geometry and Topology
Citations in the corpus
- A polynomial invariant of virtual links (2013, methodology): “In fact with another viewpoint of the writhe polynomial, we can easily find that the writhe polynomial is essentially equivalent to the affine index polynomial introduced by L. Kauffman very recently [14, 3].”