Spin Lefschetz fibrations are abundant

DOI10.2140/pjm.2023.326.1arXiv2303.01717OpenAlexW4389818581MaRDI QIDQ6142481

Mihail Arabadji, Refik İnanç Baykur

Publication date: 21 December 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.01717

zbMATH Keywords

spin structureLefschetz fibrationmapping class groupssymplectic 4-manifold

Mathematics Subject Classification ID

Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Symplectic structures in 4 dimensions (57K43)

Cites Work

• Unnamed Item
• The geography of spin symplectic 4-manifolds
• Lefschetz pencils on symplectic manifolds.
• Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith
• Nonholomorphic Lefschetz fibrations with \((-1)\)-sections
• A new construction of symplectic manifolds
• On sections of hyperelliptic Lefschetz fibrations
• Meyer's signature cocycle and hyperelliptic fibrations
• Surface singularities and planar contact structures
• SPIN STRUCTURES ON LEFSCHETZ FIBRATIONS
• Lefschetz Fibrations and an Invariant of Finitely Presented Groups
• Small exotic 4-manifolds and symplectic Calabi-Yau surfaces via genus-3 pencils

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