Disk surgery and the primitive disk complexes of the 3-sphere

DOI10.1016/j.topol.2020.107092zbMath1436.57027arXiv1812.10241OpenAlexW3003157890MaRDI QIDQ2295676

Jung Hoon Lee, Sangbum Cho, Yuya Koda

Publication date: 14 February 2020

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

Full work available at URL: https://arxiv.org/abs/1812.10241

zbMATH Keywords

Heegaard splittingdisk complexdisk surgeryprimitive disk

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) General topology of 3-manifolds (57K30)

Related Items (1)

Convex-compact subgroups of the Goeritz group

Cites Work

• Unnamed Item
• Genus-two Goeritz groups of lens spaces
• The genus two Goeritz group of \(\mathbb{S}^2 \times \mathbb{S}^1\)
• On primitive sets of loops in the boundary of a handlebody
• Primitives in the free group on two generators
• Heegaard-Zerlegungen der 3-Sphäre
• Virtually geometrically finite mapping class groups of 3-manifolds
• Connected Primitive Disk Complexes and Genus Two Goeritz Groups of Lens Spaces
• The mapping class groups of reducible Heegaard splittings of genus two
• The Powell conjecture and reducing sphere complexes
• Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two

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