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

DOI10.1142/S0129167X19500174zbMath1414.57016arXiv1901.11407MaRDI QIDQ4631365

Anar Akhmedov, Sümeyra Sakallı

Publication date: 24 April 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.11407

zbMATH Keywords

mapping class groupLefschetz fibrationrational blowdownsymplectic 4-manifoldgenus two fibration

Mathematics Subject Classification ID

Related Items (2)

Symplectic \(4\)-manifolds on the Noether line and between the Noether and half Noether lines ⋮ Small exotic 4-manifolds from lines and quadrics in \(\mathbb{C}\mathbb{P}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructing Lefschetz fibrations via daisy substitutions
• Lantern substitution and new symplectic 4-manifolds with \(b_2^{+} = 3\)
• The topology of four-dimensional manifolds
• Exotic smooth structures on \(\mathbb {CP}^{2} \# 5 \overline{{\mathbb {CP}^2}}\)
• Simply connected minimal symplectic 4-manifolds with signature less than \(-1\)
• Construction of exotic smooth structures
• Exotic smooth structures on small 4-manifolds
• Exotic smooth structures on small 4-manifolds with odd signatures
• Small exotic 4-manifolds
• Threefolds and deformations of surface singularities
• Some homology lens spaces which bound rational homology balls
• Generalized nuclei of complex surfaces
• Rational blowdowns of smooth 4-manifolds
• On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces
• Simply connected symplectic 4-manifolds with \(b_2^+ = 1\) and \(c_1^2 = 2\)
• Symplectic rational blowdowns
• Family Seiberg-Witten invariants and wall crossing formulas.
• On Mordell-Weil lattices of higher genus fibrations on rational surfaces
• The Seiberg-Witten invariants and symplectic forms
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• Exotic structures arising from fake projective planes
• Genus \(2\) Lefschetz fibrations with \(b^+_2=1\) and \(c_1^2=1,2\)
• On the invariants of base changes of pencils of curves. II
• An exotic smooth structure on {\(\mathbb C\mathbb P^ 2\#6\overline{\mathbb C\mathbb P^ 2}\)}
• Rational blow-down along wahl type plumbing trees of spheres
• Presentation of hyperelliptic periodic monodromies and splitting families
• On pencils of curves of genus two
• Curves with high self-intersection on algebraic surfaces
• The complete classification of fibres in pencils of curves of genus two
• On compact analytic surfaces. II
• Surgery along star-shaped plumbings and exotic smooth structures on 4-manifolds
• Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. (On a class of simply connected complex manifolds)
• Exotic smooth structures on 3CP2♯8CP¯2
• Constructing infinitely many smooth structures on small 4-manifolds
• On the Existence of Certain Families of Curves
• Seiberg-Witten invariants of generalised rational blow-downs
• Classification of the periodic monodromies of hyperelliptic families
• Extremal hyperelliptic fibrations on rational surfaces
• SMALL EXOTIC 4-MANIFOLDS WITH ${\lowercase{B}}_2^+=3$
• Double node neighborhoods and families of simply connected 4-manifolds with 𝑏⁺=1
• More Zariski pairs and finite fundamental groups of curve complements
• On families of complex curves over \(\mathbb{P}^{1}\) with two singular fibers

This page was built for publication: Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds