Exotic smooth structures on small 4-manifolds (Q929369)

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English	Exotic smooth structures on small 4-manifolds	scientific article

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scholarly article

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Exotic smooth structures on small 4-manifolds (English)

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Inventiones Mathematicae

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publication date

17 June 2008

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full work available at URL

https://arxiv.org/abs/math/0701664

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Constructing infinitely many smooth structures on small 4-manifolds

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A symplectic manifold homeomorphic but not diffeomorphic to \(C\mathbb P^2 \# 3\overline{C\mathbb P}^2\)

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A simply connected surface of general type with \(p_ g=0\)

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Irrationality and the h-cobordism conjecture

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Reverse engineering small 4-manifolds

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Rational blowdowns of smooth 4-manifolds

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Knots, links, and 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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On the diffeomorphism types of certain algebraic surfaces. I

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Complex versus differentiable classification of algebraic surfaces

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A new construction of symplectic manifolds

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Minimality and irreducibility of symplectic four-manifolds

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On manifolds homeomorphic to \({\mathbb{C}}P^ 2\#8\overline{{\mathbb{C}}P}^ 2\)

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Smoothly embedded spheres in symplectic 4-manifolds

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Exotic smooth structures on $3\mathbf{CP}^2 # n\overline{\mathbf{CP}}^2$

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Exotic smooth structures on $3\mathbf{CP}^2 # n\overline{\mathbf{CP}}^2$, Part II

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Constructing infinitely many smooth structures on \(3\mathbb{CP}^2 \# n\overline{\mathbb{CP}}^2\)

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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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Donaldson invariants of certain symplectic manifolds.

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Donaldson series and (-1)-tori.

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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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Irreducible four-manifolds with small Euler characteristics

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Exotic 4-manifolds with \(b_ 2^ + =1\)

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The Seiberg-Witten invariants and symplectic forms

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Shorter Notes: Some Simple Examples of Symplectic Manifolds

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Minimality and symplectic sums

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Monopoles and four-manifolds

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Identifiers

zbMATH Open document ID

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10.1007/s00222-008-0118-x

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:929369

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