The Powell conjecture and reducing sphere complexes

DOI10.1112/jlms.12272zbMath1447.57019arXiv1906.07664OpenAlexW2965196853WikidataQ123150293 ScholiaQ123150293MaRDI QIDQ5108152

Alexander Zupan

Publication date: 29 April 2020

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07664

Mathematics Subject Classification ID

2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) General topology of 3-manifolds (57K30)

Related Items (2)

Note on primitive disk complexes ⋮ Disk surgery and the primitive disk complexes of the 3-sphere

Cites Work

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• Arc complexes, sphere complexes, and Goeritz groups
• A presentation for the automorphisms of the 3-sphere that preserve a genus two Heegaard splitting
• Geometry of the complex of curves. I: Hyperbolicity
• Automorphisms of the 3-sphere preserving a genus two Heegaard splitting
• The space of Heegaard splittings
• HIGH DISTANCE KNOTS IN CLOSED 3-MANIFOLDS
• Homeomorphisms of S 3 Leaving a Heegaard Surface Invariant
• Unknotting Tunnels and Seifert Surfaces
• Haken spheres for genus two Heegaard splittings
• The mapping class groups of reducible Heegaard splittings of genus two
• The geometry of the disk complex
• Asymptotic dimension and the disk graph I

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