Lefschetz fibrations - MaRDI portal

DOI10.1090/suga/462zbMath1480.57020OpenAlexW4205371091MaRDI QIDQ5022292

Publication date: 18 January 2022

Published in: Sugaku Expositions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/suga/462

zbMATH Keywords

survey classification monodromy sections vanishing cycles indecomposability Lefschetz fibration handle hyperelliptic Lefschetz fibration

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) General topology of 4-manifolds (57K40) Symplectic structures in 4 dimensions (57K43)

Cites Work

Counting Dirac braid relators and hyperelliptic Lefschetz fibrations
Bilinear-form invariants of Lefschetz fibrations over the 2-sphere
Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations
On braid monodromy factorizations
ON HYPERELLIPTIC C^∞–LEFSCHETZ FIBRATIONS OF FOUR-MANIFOLDS
On Simply-Connected 4-Manifolds
An Introduction to Contact Topology
Monodromy substitutions and rational blowdowns
Meyer functions and the signature of fibered 4-manifolds
Corks, Plugs and exotic structures
Diffeomorphism types of elliptic surfaces
Compact Stein surfaces with boundary as branched covers of \(B^4\)
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On genera of Lefschetz fibrations and finitely presented groups
Stein fillings of homology 3-spheres and mapping class groups
Topological complexity of symplectic 4-manifolds and Stein fillings
Multisections of Lefschetz fibrations and topology of symplectic 4-manifolds
A genus zero Lefschetz fibration on the Akbulut Cork
Inequivalent Lefschetz fibrations and surgery equivalence of symplectic 4-manifolds
Four-manifolds admitting hyperelliptic broken Lefschetz fibrations
Chart description for genus-two Lefschetz fibrations and a theorem on their stabilization
Complete classification of genus-1 simplified broken Lefschetz fibrations
Classification of broken Lefschetz fibrations with small fiber genera
On genus-1 simplified broken Lefschetz fibrations
Torus fibrations over the 2-sphere with the simplest singular fibers
On sections of genus two Lefschetz fibrations
The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds
The necessary condition on the fiber-sum decomposability of genus-2 Lefschetz fibrations
Commutators, Lefschetz fibrations and the signatures of surface bundles
Signatures of Lefschetz fibrations.
A representation of orientable combinatorial 3-manifolds
On 4-manifolds fibered by tori. II
A simple presentation for the mapping class group of an orientable surface
Classification of \(T^ 2-bundles\) over \(T^ 2\)
Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds
Adiabatic limits of \(\eta \)-invariants and the Meyer functions
The canonical pencils on Horikawa surfaces
Graphic descriptions of monodromy representations
Surface bundles over surfaces with arbitrarily many fiberings
Chart description for hyperelliptic Lefschetz fibrations and their stabilization
Sections of surface bundles
Charts, signatures, and stabilizations of Lefschetz fibrations
Broken Lefschetz fibrations and mapping class groups
The mapping class group and the Meyer function for plane curves
Presentations of periodic maps on oriented closed surfaces of genera up to 4
Fibered algebraic surfaces with low slope
Constructions of smooth 4-manifolds
The topology of complex projective varieties after S. Lefschetz
On the handlebody decomposition associated to a Lefschetz fibration
A note on surfaces with pencils of non-hyperelliptic curves of genus 3
Algebraic surfaces of general type with small \(c^2_1\). I
Complex surfaces and connected sums of complex projective planes
Knots, links, and 4-manifolds
Lefschetz fibrations and the Hodge bundle
A group theoretic analogue of the Parshin-Arakelov rigidity theorem
Rational blowdowns of smooth 4-manifolds
Diffeomorphism types of genus 2 Lefschetz fibrations
Lefschetz fibrations on compact Stein surfaces
Lefschetz pencils on symplectic manifolds.
Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith
Lefschetz pencils and divisors in moduli space
Families of simply connected 4-manifolds with the same Seiberg--Witten invariants
Surgery on contact 3-manifolds and Stein surfaces
A new construction of symplectic manifolds
On sections of hyperelliptic Lefschetz fibrations
Canonical classes and the geography of nonminimal Lefschetz fibrations over \(S^2\)
An elementary approach to the mapping class group of a surface
Meyer's signature cocycle and hyperelliptic fibrations
A signature formula for hyperelliptic broken Lefschetz fibrations
Local signature defect of fibered complex surfaces via monodromy and stable reduction
On the holomorphicity of genus two Lefschetz fibrations
Singular Lefschetz pencils
A stable classification of Lefschetz fibrations
Non-holomorphic surface bundles and Lefschetz fibrations
Positive factorizations of mapping classes
Lefschetz fibrations on knot surgery 4-manifolds via Stallings twist
A local signature for fibered 4-manifolds with a finite group action
Lefschetz fibrations with small slope
Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations
Upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus
On sections of elliptic fibrations
Die Signatur von Flächenbündeln
On a theorem of Lefschetz
The Lefschetz theorem on hyperplane sections
Indecomposability of certain Lefschetz fibrations
Geometric Monodromy and the Hyperbolic Disc
Hurwitz equivalence for Lefschetz fibrations and their multisections
Holonomies and the slope inequality of Lefschetz fibrations
ON THE LOWER BOUND OF THE SLOPE OF A NON-HYPERELLIPTIC FIBRATION OF GENUS 4
SPIN STRUCTURES ON LEFSCHETZ FIBRATIONS
Minimality and symplectic sums
ELIMINATION OF DEFINITE FOLD
Arbitrarily Long Factorizations in Mapping Class Groups
Rational blowdowns and smoothings of surface singularities
Lantern relations and rational blowdowns
Morse Theory. (AM-51)
SURFACES IN R⁴ OF BRAID INDEX THREE ARE RIBBON
Seiberg-Witten invariants of generalised rational blow-downs
Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations