Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds (Q4631365)

scientific article; zbMATH DE number 7047454

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English	Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds	scientific article; zbMATH DE number 7047454

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instance of

scholarly article

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title

Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds (English)

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International Journal of Mathematics

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publication date

24 April 2019

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full work available at URL

https://arxiv.org/abs/1901.11407

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zbMATH Keywords

symplectic 4-manifold

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mapping class group

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Lefschetz fibration

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genus two fibration

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rational blowdown

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MaRDI profile type

MaRDI publication profile

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cites work

Construction of exotic smooth structures

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Q5852573

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Small exotic 4-manifolds

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Simply connected minimal symplectic 4-manifolds with signature less than $-1$

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Constructing infinitely many smooth structures on small 4-manifolds

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Genus $2$ Lefschetz fibrations with $b^+_2=1$ and $c_1^2=1,2$

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Constructing Lefschetz fibrations via daisy substitutions

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Exotic smooth structures on small 4-manifolds

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Exotic smooth structures on small 4-manifolds with odd signatures

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Lantern substitution and new symplectic 4-manifolds with $b_2^{+} = 3$

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Q4407864

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Some homology lens spaces which bound rational homology balls

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Rational blowdowns of smooth 4-manifolds

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Double node neighborhoods and families of simply connected 4-manifolds with 𝑏⁺=1

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The topology of four-dimensional manifolds

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Generalized nuclei of complex surfaces

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Q4700561

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On families of complex curves over $\mathbb{P}^{1}$ with two singular fibers

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Curves with high self-intersection on algebraic surfaces

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Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. (On a class of simply connected complex manifolds)

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Q5625976

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Classification of the periodic monodromies of hyperelliptic families

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Presentation of hyperelliptic periodic monodromies and splitting families

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Surgery along star-shaped plumbings and exotic smooth structures on 4-manifolds

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Extremal hyperelliptic fibrations on rational surfaces

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On compact analytic surfaces. II

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Threefolds and deformations of surface singularities

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Q3595654

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Q4522200

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Symplectic structure on ruled surfaces and a generalized adjunction formula

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Family Seiberg-Witten invariants and wall crossing formulas.

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Rational blow-down along wahl type plumbing trees of spheres

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Q3213238

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The complete classification of fibres in pencils of curves of genus two

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On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces

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On pencils of curves of genus two

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Q5477308

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Seiberg-Witten invariants of generalised rational blow-downs

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Simply connected symplectic 4-manifolds with $b_2^+ = 1$ and $c_1^2 = 2$

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Exotic smooth structures on 3CP2♯8CP¯2

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Exotic smooth structures on $\mathbb {CP}^{2} \# 5 \overline{{\mathbb {CP}^2}}$

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On Mordell-Weil lattices of higher genus fibrations on rational surfaces

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An exotic smooth structure on {$\mathbb C\mathbb P^ 2\#6\overline{\mathbb C\mathbb P^ 2}$}

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SMALL EXOTIC 4-MANIFOLDS WITH ${\lowercase{B}}_2^+=3$

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Symplectic rational blowdowns

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On the invariants of base changes of pencils of curves. II

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The Seiberg-Witten invariants and symplectic forms

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More Zariski pairs and finite fundamental groups of curve complements

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On the Existence of Certain Families of Curves

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Exotic structures arising from fake projective planes

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Identifiers

zbMATH Open document ID

1414.57016

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DOI

10.1142/S0129167X19500174

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4631365