2013/02/28 by Kazuo Habiro, Tamara Widmer · 4 citations
Computer Science · Mathematics · #Boundary (topology) #Combinatorics #Computer science #Generalization #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Null (SQL) #Pure mathematics #Sequence (biology) #Topological and Geometric Data Analysis #Topology (electrical circuits) #math.GT #msc:57M25 #msc:57M27
paper · pdf · doi:10.2140/agt.2014.14.115
published in Algebraic & Geometric Topology 14(1), 115-134 (Mathematical Sciences Publishers) · 16 pages, 5 figures. With minor corrections. To appear in Algebraic and Geometric Topology
arxiv created 2013/06/23 · openalex publication_date 2014/01/09 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Kirby proved that two framed links in S 3 give orientation-preserving homeomorphic results of surgery if and only if these two links are related by a sequence of two kinds of moves called stabilizations and handle-slides. Fenn and Rourke gave a necessary and sufficient condition for two framed links in a closed, oriented 3-manifold to be related by a finite sequence of these moves.