Geography of symplectic Lefschetz fibrations and rational blowdowns (Q6658105)

scientific article; zbMATH DE number 7962841

Language	Label	Description	Also known as
English	Geography of symplectic Lefschetz fibrations and rational blowdowns	scientific article; zbMATH DE number 7962841

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instance of

scholarly article

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title

Geography of symplectic Lefschetz fibrations and rational blowdowns (English)

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Transactions of the American Mathematical Society

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publication date

8 January 2025

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MaRDI profile type

Publication

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cites work

Simply connected minimal symplectic 4-manifolds with signature less than \(-1\)

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Exotic smooth structures on small 4-manifolds

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

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Minimality and fiber sum decompositions of Lefschetz fibrations

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Lefschetz fibrations with arbitrary signature

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Small Lefschetz fibrations and exotic 4-manifolds

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Low-slope Lefschetz fibrations

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On the geography of surfaces - simply connected minimal surfaces with positive index

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The existence of algebraic surfaces with preassigned Chern numbers

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Minimality of symplectic fiber sums along spheres

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Lantern relations and rational blowdowns

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Witten's conjecture for many four-manifolds of simple type

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The \(\mathrm{SO}(3)\) monopole cobordism and superconformal simple type

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Rational surfaces and symplectic \(4\)-manifolds with one basic class

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

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Pinwheels and nullhomologous surgery on 4-manifolds with \(b^+=1\)

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The topology of four-dimensional manifolds

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A new construction of symplectic manifolds

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

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Representing nonnegative homology classes of ℂℙ²#𝕟\overline{ℂℙ}² by minimal genus smooth embeddings

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Symplectic structure on ruled surfaces and a generalized adjunction formula

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Lens spaces, rational balls and the ribbon conjecture

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Superconformal invariance and the geography of four-manifolds

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Symplectic normal connect sum

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Lefschetz fibrations with small slope

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Q5477308

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A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=3\)

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A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=4\)

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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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Q3936840

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Q3803257

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Chern slopes of simply connected complex surfaces of general type are dense in [2,3]

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Symplectic \(4\)-manifolds on the Noether line and between the Noether and half Noether lines

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Symplectically replacing plumbings with Euler characteristic \(2 \: 4\)-manifolds

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On the density of ratios of Chern classes of algebraic surfaces

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The geography problem of 4-manifolds with various structures

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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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SPIN STRUCTURES ON LEFSCHETZ FIBRATIONS

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Symplectic rational blowdowns

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Generalized symplectic rational blowdowns

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On sections of hyperelliptic Lefschetz fibrations

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Geography of spin surfaces

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Minimality and symplectic sums

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Small exotic rational surfaces without 1- and 3-handles

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Identifiers

DOI

10.1090/tran/8968

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6658105