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Lefschetz fibrations (Q5022292)

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scientific article; zbMATH DE number 7458833

Language	Label	Description	Also known as
English	Lefschetz fibrations	scientific article; zbMATH DE number 7458833

Statements

scholarly article

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Lefschetz fibrations (English)

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Sugaku Expositions

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publication date

18 January 2022

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zbMATH Keywords

survey

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Lefschetz fibration

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vanishing cycles

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handle

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monodromy

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classification

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hyperelliptic Lefschetz fibration

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sections

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indecomposability

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/suga/462

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Lefschetz fibrations on compact Stein surfaces

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Corks, Plugs and exotic structures

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Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith

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The Lefschetz theorem on hyperplane sections

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Local signature defect of fibered complex surfaces via monodromy and stable reduction

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A stable classification of Lefschetz fibrations

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The canonical pencils on Horikawa surfaces

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Singular Lefschetz pencils

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Non-holomorphic surface bundles and Lefschetz fibrations

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Inequivalent Lefschetz fibrations and surgery equivalence of symplectic 4-manifolds

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Multisections of Lefschetz fibrations and topology of symplectic 4-manifolds

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Broken Lefschetz fibrations and mapping class groups

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Hurwitz equivalence for Lefschetz fibrations and their multisections

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Classification of broken Lefschetz fibrations with small fiber genera

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Positive factorizations of mapping classes

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Topological complexity of symplectic 4-manifolds and Stein fillings

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On a theorem of Lefschetz

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ON THE LOWER BOUND OF THE SLOPE OF A NON-HYPERELLIPTIC FIBRATION OF GENUS 4

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Arbitrarily Long Factorizations in Mapping Class Groups

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Lefschetz pencils on symplectic manifolds.

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Meyer's signature cocycle and hyperelliptic fibrations

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Lantern relations and rational blowdowns

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Charts, signatures, and stabilizations of Lefschetz fibrations

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Chart description for hyperelliptic Lefschetz fibrations and their stabilization

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Counting Dirac braid relators and hyperelliptic Lefschetz fibrations

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Commutators, Lefschetz fibrations and the signatures of surface bundles

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Monodromy substitutions and rational blowdowns

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Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations

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Rational blowdowns of smooth 4-manifolds

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Constructions of smooth 4-manifolds

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Knots, links, and 4-manifolds

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Families of simply connected 4-manifolds with the same Seiberg--Witten invariants

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Diffeomorphism types of genus 2 Lefschetz fibrations

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An Introduction to Contact Topology

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A new construction of symplectic manifolds

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Upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus

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On genus-1 simplified broken Lefschetz fibrations

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Complete classification of genus-1 simplified broken Lefschetz fibrations

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Four-manifolds admitting hyperelliptic broken Lefschetz fibrations

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A signature formula for hyperelliptic broken Lefschetz fibrations

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Sections of surface bundles

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Presentations of periodic maps on oriented closed surfaces of genera up to 4

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Algebraic surfaces of general type with small \(c^2_1\). I

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Adiabatic limits of \(\eta \)-invariants and the Meyer functions

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A group theoretic analogue of the Parshin-Arakelov rigidity theorem

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SURFACES IN R<sup>4</sup> OF BRAID INDEX THREE ARE RIBBON

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Graphic descriptions of monodromy representations

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Chart description for genus-two Lefschetz fibrations and a theorem on their stabilization

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Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations

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On the handlebody decomposition associated to a Lefschetz fibration

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On braid monodromy factorizations

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On genera of Lefschetz fibrations and finitely presented groups

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A note on surfaces with pencils of non-hyperelliptic curves of genus 3

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On sections of elliptic fibrations

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The mapping class group and the Meyer function for plane curves

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The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds

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Meyer functions and the signature of fibered 4-manifolds

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The topology of complex projective varieties after S. Lefschetz

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A representation of orientable combinatorial 3-manifolds

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Compact Stein surfaces with boundary as branched covers of \(B^4\)

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On 4-manifolds fibered by tori. II

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Torus fibrations over the 2-sphere with the simplest singular fibers

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Diffeomorphism types of elliptic surfaces

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Die Signatur von Flächenbündeln

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Morse Theory. (AM-51)

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Holonomies and the slope inequality of Lefschetz fibrations

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Complex surfaces and connected sums of complex projective planes

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Lefschetz fibrations with small slope

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Bilinear-form invariants of Lefschetz fibrations over the 2-sphere

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Stein fillings of homology 3-spheres and mapping class groups

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On sections of genus two Lefschetz fibrations

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Signatures of Lefschetz fibrations.

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Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations

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Surgery on contact 3-manifolds and Stein surfaces

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Seiberg-Witten invariants of generalised rational blow-downs

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Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds

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Lefschetz fibrations on knot surgery 4-manifolds via Stallings twist

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ELIMINATION OF DEFINITE FOLD

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Classification of \(T^ 2-bundles\) over \(T^ 2\)

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Surface bundles over surfaces with arbitrarily many fiberings

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A local signature for fibered 4-manifolds with a finite group action

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The necessary condition on the fiber-sum decomposability of genus-2 Lefschetz fibrations

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Canonical classes and the geography of nonminimal Lefschetz fibrations over \(S^2\)

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ON HYPERELLIPTIC C<sup>∞</sup>–LEFSCHETZ FIBRATIONS OF FOUR-MANIFOLDS

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On the holomorphicity of genus two Lefschetz fibrations

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Lefschetz fibrations and the Hodge bundle

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Lefschetz pencils and divisors in moduli space

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Geometric Monodromy and the Hyperbolic Disc

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SPIN STRUCTURES ON LEFSCHETZ FIBRATIONS

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Indecomposability of certain Lefschetz fibrations

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Rational blowdowns and smoothings of surface singularities

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On sections of hyperelliptic Lefschetz fibrations

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A genus zero Lefschetz fibration on the Akbulut Cork

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Minimality and symplectic sums

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A simple presentation for the mapping class group of an orientable surface

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An elementary approach to the mapping class group of a surface

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On Simply-Connected 4-Manifolds

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Fibered algebraic surfaces with low slope

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/SUGA/462

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Sitelinks

Mathematics(1 entry)

mardi Publication:5022292

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