Meta-nilpotent knot invariants and symplectic automorphism groups of free nilpotent groups
Abstract
In this paper, we study nilpotent p-localizations of knot groups using the symplectic automorphism groups of free nilpotent groups. We show that any function on the set of conjugacy classes in the corresponding outer automorphism group defines a knot invariant. Furthermore, we study these automorphism groups and compute several invariants arising from this construction.
Fields of Study & Subjects
Geometric and Algebraic Topology
Publication details
- Journal / source
- Journal of Knot Theory and Its Ramifications
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 35
- Issue
- 13
- Publication date
- 30 April 2026
- Language
- EN