On the diffeomorphism group of a reducible 3-manifold

DOI10.1016/0166-8641(87)90023-XzbMath0624.57014MaRDI QIDQ578655

Harrie Hendriks, Darryl McCullough

Publication date: 1987

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

group of diffeomorphismshandlesconnected sum of irreducible manifoldsn-punctured 3-sphereorientable 3-manifoldspace of imbeddings

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Homotopy groups of special spaces (55Q52) Differential topological aspects of diffeomorphisms (57R50)

Related Items

3-manifolds for relativists, Aspects of 3-manifold theory in classical and quantum general relativity, Isotopies of 3-manifolds, Spaces of knots in the solid torus, knots in the thickened torus, and links in the 3-sphere, Dynamical and cohomological obstructions to extending group actions, AN ANALYSIS OF THE REPRESENTATIONS OF THE MAPPING CLASS GROUP OF A MULTIGEON THREE-MANIFOLD

Cites Work

• Unnamed Item
• A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• Difféomorphismes des sommes connexes en dimension trois. (Diffeomorphisms of connected sums in dimension three)
• Compact, acyclic subsets of three-manifolds
• The homotopy type of homeomorphisms of 3-manifolds
• On the Diffeomorphism Group of S 1 × S 2
• Configuration Spaces.