Minimal number of singular fibers in a nonorientable Lefschetz fibration

DOI10.1007/s10711-021-00666-3zbMath1489.57014arXiv2110.08759OpenAlexW3206656903MaRDI QIDQ2071808

Sinem Onaran, Burak Ozbagci

Publication date: 31 January 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08759

zbMATH Keywords

mapping class groupLefschetz fibrationnonorientable \(4\)-manifold

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Fiber spaces in algebraic topology (55R05) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) General topology of 4-manifolds (57K40)

Cites Work

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• On the commutator length of a Dehn twist
• The twist subgroup of the mapping class group of a nonorientable surface
• Mapping class groups of nonorientable surfaces
• Stable commutator length of a Dehn twist
• Surgery on contact 3-manifolds and Stein surfaces
• Lefschetz fibrations on nonorientable 4-manifolds
• Minimal number of singular fibers in a Lefschetz fibration
• First homology group of mapping class groups of nonorientable surfaces
• Bounded cohomology and non-uniform perfection of mapping class groups

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