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