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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The geography problem for irreducible spin four-manifolds


Authors: B. Doug Park and Zoltán Szabó
Journal: Trans. Amer. Math. Soc. 352 (2000), 3639-3650
MSC (2000): Primary 57R15, 57R57; Secondary 57N65, 58D27
Published electronically: March 15, 2000
MathSciNet review: 1653371
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Abstract:

We study the geography problem for smooth irreducible simply-connected 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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Additional Information

B. Doug Park
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Email: bahnpark@math.princeton.edu

Zoltán Szabó
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Email: szabo@math.princeton.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02467-3
PII: S 0002-9947(00)02467-3
Keywords: Geography, spin, symplectic, Seiberg-Witten
Received by editor(s): April 1, 1998
Published electronically: March 15, 2000
Additional Notes: The second author was supported in part by NSF Grant DMS-970435.
Article copyright: © Copyright 2000 American Mathematical Society