The geography problem for irreducible spin four-manifolds
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- by B. Doug Park and Zoltán Szabó PDF
- Trans. Amer. Math. Soc. 352 (2000), 3639-3650 Request permission
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.References
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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
- 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.
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 3639-3650
- MSC (2000): Primary 57R15, 57R57; Secondary 57N65, 58D27
- DOI: https://doi.org/10.1090/S0002-9947-00-02467-3
- MathSciNet review: 1653371