A presentation for the automorphisms of the 3-sphere that preserve a genus two Heegaard splitting
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Publication:953103
DOI10.2140/pjm.2008.236.201zbMath1157.57002arXivmath/0504519OpenAlexW2111915531MaRDI QIDQ953103
Publication date: 14 November 2008
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0504519
Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05)
Related Items (17)
Haken spheres for genus two Heegaard splittings ⋮ Genus two Goeritz equivalence in \(S^3\) ⋮ The Powell conjecture and reducing sphere complexes ⋮ Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots ⋮ Convex-compact subgroups of the Goeritz group ⋮ 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 ⋮ Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two ⋮ 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 ⋮ 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
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