A free-group valued invariant of free knots
Vassily Olegovich Manturov
TL;DR
This paper introduces a new class of invariants for free knots, utilizing free groups and free products of cyclic groups, to distinguish and analyze these knots.
Contribution
It constructs a series of invariants for free knots valued in free groups, providing a novel algebraic approach to knot invariants.
Findings
Invariants effectively distinguish free knots.
New algebraic methods for knot analysis.
Corrected minor mistakes in previous formulations.
Abstract
The aim of the present 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). (Some minor mistakes are corrected)
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