Holonomies and the slope inequality of Lefschetz fibrations

DOI10.1090/S0002-9939-2010-10563-4zbMath1226.14015MaRDI QIDQ2997186

Hideki Miyachi, Hiroshige Shiga

Publication date: 6 May 2011

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

zbMATH Keywords

monodromymapping class groupHolonomyslope inequalityTeichmüller Theory

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Group actions on manifolds and cell complexes in low dimensions (57M60) Teichmüller theory for Riemann surfaces (30F60)

Related Items (2)

Nonholomorphic Lefschetz fibrations with \((-1)\)-sections ⋮ Lefschetz fibrations

Cites Work

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• Commutators, Lefschetz fibrations and the signatures of surface bundles
• Fibered algebraic surfaces with low slope
• On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces
• Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith
• Die Signatur von Flächenbündeln
• Geometric Monodromy and the Hyperbolic Disc
• A Construction of Pseudo-Anosov Homeomorphisms
• On monodromies of holomorphic families of Riemann surfaces and modular transformations
• Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations

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