An invariant of free knots valued in non-abelian groups
Key Points
Invariants of free knots are defined in terms of free groups, expanding the understanding of their structure.
Key findings reveal a new class of invariants which hold potential applications in knot theory and algebraic topology.
Assessment involves exploring relationships between free knots, virtual knots, and various algebraic structures.
Highlights the significance of these invariants in understanding the properties of free groups and their applications.
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).
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Cite This Study
Vassily Olegovich Manturov (Thu,) studied this question.