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math.GTNov 1, 2004
35
citations (OpenAlex)
authors
  • Andras I Stipsicz
  • Zoltan Szabo
institutions
  • Hungarian Academy of Sciences
  • HUN-REN Alfréd Rényi Institute of Mathematics
  • Institute for Advanced Study
  • Princeton University
arXiv abstractPDF
paper

An exotic smooth structure on CP^2+6CP^2-bar

arXiv:math/0411258 · doi:10.2140/gt.2005.9.813

Abstract

We construct smooth 4-manifolds homeomorphic but not diffeomorphic to CP^2+6CP^2-bar.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper19.abs.html

References in corpus (3)

  • Simply connected symplectic 4-manifolds with b2+​=1 and c12​=2
  • Generalized symplectic rational blowdowns
  • Surgery on Nullhomologous Tori

Cited by in corpus (12)

  • A simply connected surface of general type with p_g=0 and K^2=2
  • Exotic smooth structures on 4-manifolds with zero signature
  • A simply connected surface of general type with p_g=0 and K^2=3
  • Exotic Smooth Structures on Small 4-Manifolds
  • Constructing infinitely many smooth structures on small 4-manifolds
  • Kodaira dimension and symplectic sums
  • Surgery on Nullhomologous Tori
  • Exotic rational elliptic surfaces without 1-handles
  • Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds
  • Deformation of Singular Fibers of Genus 2 Fibrations and Small Exotic Symplectic 4-Manifolds
  • A cork of the rational surface with the second Betti number 9
  • On lens spaces bounding smooth 4-manifolds with b2​=1
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