Small exotic 4-manifolds

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13 Scopus citations

Abstract

In this article, we construct the first example of a simply connected minimal symplectic 4 -manifold that is homeomorphic but not diffeomorphic to 3 CP2 #7CP2. We also construct the first exotic minimal symplectic CP2#5CP2.

Original languageEnglish (US)
Pages (from-to)1781-1794
Number of pages14
JournalAlgebraic and Geometric Topology
Volume8
Issue number3
DOIs
StatePublished - 2008

Keywords

  • 4-manifolds
  • Exotic smooth structures
  • Fiber sum
  • Seiberg -Witten invariants
  • Symplectic 4-manifolds

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