Small Lefschetz fibrations and exotic 4-manifolds

DOI10.1007/s00208-016-1466-2zbMath1362.57034arXiv1510.00089OpenAlexW2963220255MaRDI QIDQ522632

Mustafa Korkmaz, Refik İnanç Baykur

Publication date: 18 April 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00089

zbMATH Keywords

mapping class groupLefschetz fibrationexotic manifoldfiber sumindecomposable fibrationminimal fibrationpositive factorization

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Applications of global analysis to structures on manifolds (57R57) Global theory of symplectic and contact manifolds (53D35)

Related Items (14)

The number of singular fibers in hyperelliptic Lefschetz fibrations ⋮ Simplifying indefinite fibrations on 4-manifolds ⋮ Small genus-$4$ Lefschetz fibrations on simply-connected $4$-manifolds ⋮ Unchaining surgery and topology of symplectic 4-manifolds ⋮ Small exotic 4-manifolds and symplectic Calabi-Yau surfaces via genus-3 pencils ⋮ The Craighero–Gattazzo surface is simply connected ⋮ Genus \(2\) Lefschetz fibrations with \(b^+_2=1\) and \(c_1^2=1,2\) ⋮ Nonholomorphic Lefschetz fibrations with \((-1)\)-sections ⋮ Counting Dirac braid relators and hyperelliptic Lefschetz fibrations ⋮ Topology of holomorphic Lefschetz pencils on the four-torus ⋮ Genus-3 Lefschetz fibrations and exotic 4-manifolds with \(b_2^+=3\) ⋮ Minimality and fiber sum decompositions of Lefschetz fibrations ⋮ The existence of an indecomposable minimal genus two Lefschetz fibration ⋮ On the minimal number of singular fibers in Lefschetz fibrations over the torus

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