Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality

DOI10.1090/S0002-9947-03-03290-2zbMath1033.53076arXivmath/0204153MaRDI QIDQ4806480

Volker Braungardt, Dieter Kotschick

Publication date: 14 May 2003

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

Full work available at URL: https://arxiv.org/abs/math/0204153

zbMATH Keywords

vanishing cyclesDehn twistsfour-manifoldsLefschetz fibrations

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Families, moduli of curves (algebraic) (14H10) Applications of global analysis to structures on manifolds (57R57) Global theory of symplectic and contact manifolds (53D35)

Related Items (13)

The number of singular fibers in hyperelliptic Lefschetz fibrations ⋮ On a minimal factorization conjecture ⋮ Cosmetic crossing changes of fibered knots ⋮ Quasi-homomorphisms and stable lengths in mapping class groups ⋮ On minimal number of singular fibers in a genus-2 Lefschetz fibration ⋮ Singular fibers in elliptic fibrations on the rational elliptic surface ⋮ On Szpiro inequality for semistable families of curves ⋮ On the commutator length of a Dehn twist ⋮ The existence of an indecomposable minimal genus two Lefschetz fibration ⋮ Signatures of surface bundles and scl of a Dehn twist ⋮ On the minimal number of critical points of smooth maps between closed manifolds ⋮ Sections of surface bundles and Lefschetz fibrations ⋮ On the minimal number of singular fibers in Lefschetz fibrations over the torus

Cites Work

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