Construction of exotic smooth structures

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Abstract

In this article, we construct infinitely many simply connected, nonsymplectic and pairwise nondiffeomorphic 4-manifolds starting from the elliptic surfaces E (n) and applying the sequence of knot surgery, ordinary blowups and rational blowdown. We also compute the Seiberg-Witten invariants of these manifolds.

Original languageEnglish (US)
Pages (from-to)1134-1140
Number of pages7
JournalTopology and its Applications
Volume154
Issue number6
DOIs
StatePublished - Mar 15 2007
Externally publishedYes

Keywords

  • 4-manifolds
  • Elliptic fibration
  • Exotic smooth structures
  • Seiberg-Witten invariants

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