ADJACENCY OF THREE-MANIFOLDS AND BRUNNIAN LINKS
Abstract
Abstract We introduce the notion of adjacency in three-manifolds. A three-manifold Y is n -adjacent to another three-manifold Z if there exists an n -component link in Y and surgery slopes for that link such that performing Dehn surgery along any nonempty sublink yields Z . We characterize adjacencies from three-manifolds to the three-sphere, providing an analogy to Askitas and Kalfagianni’s results on n -adjacency in knots.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Nagoya Mathematical Journal
- Publisher
- Cambridge University Press (CUP)
- Volume
- 261
- Publication date
- 1 January 2026
- Language
- EN