An invariant of free knots valued in non-abelian groups

The aim of this paper is to construct series of invariants of free knots (flat virtual knots, virtual knots) valued in free groups (and also free products of cyclic groups).

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2026-01-29
DOI
https://doi.org/10.1142/s0218216526500148
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
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article

An invariant of free knots valued in non-abelian groups

Vassily Olegovich Manturov
Journal of Knot Theory and Its Ramifications
Geometric and Algebraic Topology
article

An invariant of free knots valued in non-abelian groups

Vassily Olegovich Manturov
article en

Abstract

The aim of this paper is to construct series of invariants of free knots (flat virtual knots, virtual knots) valued in free groups (and also free products of cyclic groups).

Journal of Knot Theory and Its Ramifications
Moscow Institute of Physics and Technology (RU)
Openalex Percentile: Top 70%
Geometric and Algebraic Topology
DOISourceOpenAlex
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An invariant of free knots valued in non-abelian groups — Vassily Olegovich Manturov · Journal of Knot Theory and Its Ramifications (2026) | TGRS Research Map | TGRS