Work

Flat-virtual knot: Introduction and some invariants

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s021821652540005x

Authors: V. O. Manturov, I. M. Nikonov

Institutions: Nosov Magnitogorsk State Technical University, Moscow Institute of Physics and Technology, Lomonosov Moscow State University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

OpenAlex ID: W4407579946

FWCI:

Cites: 25

Cited by:

Related to: 10