Signatures of surface bundles and scl of a Dehn twist

DOI10.1112/jlms.12247zbMath1436.57037arXiv1804.01798OpenAlexW3099129422MaRDI QIDQ5217917

Naoyuki Monden

Publication date: 26 February 2020

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

Full work available at URL: https://arxiv.org/abs/1804.01798

zbMATH Keywords

mapping class groupsurface bundlestable commutator length

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Differentiable structures in differential topology (57R55) Topology of vector bundles and fiber bundles (57R22) Commutator calculus (20F12) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• On upper bounds on stable commutator lengths in mapping class groups
• Commutators, Lefschetz fibrations and the signatures of surface bundles
• The second homology group of the mapping class group of an orientable surface
• Charts, signatures, and stabilizations of Lefschetz fibrations
• scl.
• Signatures, monopoles and mapping class groups
• Stable length of commutators
• A construction of surface bundles over surfaces with non-zero signature
• A presentation of the mapping class groups
• Surface bundles over surfaces of small genus
• Surface bundles with nonvanishing signature
• Stable commutator length of a Dehn twist
• On stable commutator length in hyperelliptic mapping class groups
• Surface bundles with non-zero signature
• Non-holomorphic surface bundles and Lefschetz fibrations
• On sections of elliptic fibrations
• A certain type of irregular algebraic surfaces
• Die Signatur von Flächenbündeln
• Minimal number of singular fibers in a Lefschetz fibration
• Sections of surface bundles and Lefschetz fibrations
• SURFACE BUNDLES OVER SURFACES WITH A FIXED SIGNATURE
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• Two Theorems on the Mapping Class Group of a Surface
• Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations
• Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality
• Quasi-homomorphisms and stable lengths in mapping class groups
• Presentation and central extensions of mapping class groups
• On stable commutator lengths of Dehn twists along separating curves
• Bounded cohomology and non-uniform perfection of mapping class groups

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