A note on the involutive invariants of splices
Abstract
A natural family of potentially 2-torsion elements in the integer homology cobordism group consists of splices of knots with their mirrors.We show that such 3-manifolds have locally trivial involutive Floer homology.We show some related families of splices also have locally trivial involutive Floer homology.Our arguments show that many gauge-theoretic invariants also vanish on these 3-manifolds.
Fields of Study & Subjects
Finite Group Theory Research
Advanced Graph Theory Research
Publication details
- Journal / source
- Algebraic & Geometric Topology
- Volume
- 26
- Issue
- 5
- Pages
- 1907–1921
- Publication date
- 23 May 2026
- Language
- EN