Flat-virtual knot: Introduction and some invariants
The motivation for this work is to construct a map from classical knots to virtual ones. What we get in the paper is a series of maps from knots in the full torus (thickened torus) to flat-virtual knots. We give definition of flat-virtual knots and presents Alexander-like polynomial and (picture-valued) Kauffman bracket for them.
Authors
- Igor Nikonov (ORCID: https://orcid.org/0000-0002-7823-9850)
- Vassily Olegovich Manturov
Institutions
- Nosov Magnitogorsk State Technical University (RU)
- Moscow Institute of Physics and Technology (RU)
- Lomonosov Moscow State University (RU)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2025-02-15
- DOI
- https://doi.org/10.1142/s021821652540005x
- Primary Topic
- Advanced Numerical Analysis Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00