Smooth structures on algebraic surfaces with cyclic fundamental group

DOI10.1007/BF01404912zbMath0609.57008MaRDI QIDQ1086889

Matthias Kreck, Ian Hambleton

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143531

zbMATH Keywords

Euler characteristicsignaturesecond Stiefel-Whitney classsmooth structurescyclic fundamental groupalgebraic surface with a non-trivial finite cyclic fundamental groupclosed, oriented, smooth 4-manifoldshomeomorphism classification of Dolgachev surfaces

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Differentiable structures in differential topology (57R55)

Related Items

On the smooth structures on elliptic surfaces and related topics, Smooth group actions on definite 4-manifolds and moduli spaces, \(\text{Pin}^-(2)\)-monopole equations and intersection forms with local coefficients of four-manifolds, SIMPLY CONNECTED MANIFOLDS WITH LARGE HOMOTOPY STABLE CLASSES, Counterexamples in 4-manifold topology, Constraints on families of smooth 4-manifolds from \(\operatorname{Pin}^-(2)\)-monopole, Smooth structures on complex surfaces with fundamental group $\mathbf {Z}_2$, \(s\)-cobordism classification of 4-manifolds through the group of homotopy self-equivalences, Real structures and the Pin−(2)-monopole equations, Stably diffeomorphic manifolds and l 2q+1(ℤ[π)], GEOGRAPHY AND BOTANY OF IRREDUCIBLE NON-SPIN SYMPLECTIC 4-MANIFOLDS WITH ABELIAN FUNDAMENTAL GROUP, Smoothability of $\mathbb {Z}\times \mathbb {Z}$-actions on 4-manifolds, Homotopy self-equivalences of 4-manifolds with \(PD_2\) fundamental group, Smooth structures on algebraic surfaces with finite fundamental group, Representing homology classes by locally flat 2-spheres

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