Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two
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Publication:5438486
DOI10.1090/S0002-9939-07-09188-5zbMath1149.57025arXivmath/0611767MaRDI QIDQ5438486
Publication date: 23 January 2008
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611767
Related Items
Haken spheres for genus two Heegaard splittings, Arc distance equals level number, Genus two Goeritz equivalence in \(S^3\), Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots, Convex-compact subgroups of the Goeritz group, Note on primitive disk complexes, ON THE MAPPING CLASS GROUP OF A HEEGAARD SPLITTING, The mapping class groups of reducible Heegaard splittings of genus two, A complex of incompressible surfaces for handlebodies and the mapping class group, Arc complexes, sphere complexes, and Goeritz groups, The tree of knot tunnels, Cabling sequences of tunnels of torus knots, Twisted book decompositions and the Goeritz groups, Disk surgery and the primitive disk complexes of the 3-sphere, Tunnel leveling, depth, and bridge numbers, Unknotting annuli and handlebody-knot symmetry, Constructing knot tunnels using giant steps, Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors
Cites Work
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- A presentation for the automorphisms of the 3-sphere that preserve a genus two Heegaard splitting
- On primitive sets of loops in the boundary of a handlebody
- Automorphisms of the 3-sphere preserving a genus two Heegaard splitting
- Virtually geometrically finite mapping class groups of 3-manifolds
- Homeomorphisms of S 3 Leaving a Heegaard Surface Invariant
