The mapping class groups of reducible Heegaard splittings of genus two

DOI10.1090/tran/7375zbMath1406.57015arXiv1702.05306OpenAlexW2751620118MaRDI QIDQ4645091

Sangbum Cho, Yuya Koda

Publication date: 10 January 2019

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

Full work available at URL: https://arxiv.org/abs/1702.05306

zbMATH Keywords

mapping class groupHeegaard splittingGoeritz group

Mathematics Subject Classification ID

Related Items (5)

The Powell conjecture and reducing sphere complexes ⋮ The disk complex and 2-bridge knots ⋮ Twisted book decompositions and the Goeritz groups ⋮ Disk surgery and the primitive disk complexes of the 3-sphere ⋮ Some results on Heegaard splitting

Cites Work

• Unnamed Item
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• Genus-two Goeritz groups of lens spaces
• Diffeomorphisms of elliptic 3-manifolds
• The genus two Goeritz group of \(\mathbb{S}^2 \times \mathbb{S}^1\)
• Difféotopies des espaces lenticulaires
• Automorphisms of the three-torus preserving a genus-three Heegaard splitting
• Arc complexes, sphere complexes, and Goeritz groups
• A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
• A presentation for the automorphisms of the 3-sphere that preserve a genus two Heegaard splitting
• The tree of knot tunnels
• On primitive sets of loops in the boundary of a handlebody
• Primitives in the free group on two generators
• Die Abbildungen der Brezelfläche und der Vollbrezel vom Geschlecht 2
• Big Heegaard distance implies finite mapping class group
• Automorphisms of the 3-sphere preserving a genus two Heegaard splitting
• Virtually geometrically finite mapping class groups of 3-manifolds
• The space of Heegaard splittings
• Generating the genus g+1 Goeritz group of a genus g handlebody
• Mapping class groups of medium distance Heegaard splittings
• Scindements de Heegaard des espaces lenticulaires
• Connected Primitive Disk Complexes and Genus Two Goeritz Groups of Lens Spaces
• Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots
• Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two
• Disk Complexes and Genus Two Heegaard Splittings for NonPrime 3-Manifolds

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