The geography problem for irreducible spin four-manifolds

B. Doug Park, Zoltän Szabö

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

ABSTRACT. We study the geography problem for smooth irreducible simplyconnected spin four-manifolds. For a large class of homotopy types, we exhibit both symplectic and non-symplectic representatives. We also compute the Seiberg-Witten invariants of all the four-manifolds we construct.

Original languageEnglish (US)
Pages (from-to)3639-3650
Number of pages12
JournalTransactions of the American Mathematical Society
Volume352
Issue number8
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • General Mathematics

Keywords

  • Geography
  • Seiberg-witten
  • Spin
  • Symplectic

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