The geography problem for irreducible spin four-manifolds

B. Doug Park; Zoltan Szabo

The geography problem for irreducible spin four-manifolds

B. Doug Park, Zoltan Szabo

Mathematics

Research output: Contribution to journal › Article › peer-review

15 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 language	English (US)
Pages (from-to)	3639-3650
Number of pages	12
Journal	Transactions of the American Mathematical Society
Volume	352
Issue number	8
State	Published - Dec 1 2000

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Cite this

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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.",

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The geography problem for irreducible spin four-manifolds

Abstract

All Science Journal Classification (ASJC) codes

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