The geography problem for irreducible spin four-manifolds
نویسندگان
چکیده
منابع مشابه
The Geography Problem for Irreducible Spin Four-manifolds
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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For many years, four–manifold folklore suggested that all simply connected smooth four–manifolds should be connected sums of complex algebraic surfaces, with both their complex and non–complex orientations allowed. The first counterexamples were constructed in 1990 by Gompf and Mrowka [5], and many others followed. Then, Gompf [4] showed that many, and possibly all, these counterexamples arise ...
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15 صفحه اولThe Geography Problem for 4–manifolds with Specified Fundamental Group
Fix a group G and let M(G) denote the class of closed oriented manifolds with π1(M) ∼= G. The geography of M(G) is the set of integer pairs {(σ(M), χ(M)) | M ∈ M(G)}, where σ and χ denote the signature and Euler characteristic. This paper explores general properties of the geography of M(G) and undertakes an extended study of M(Zn).
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02467-3