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Seiberg-Witten invariants for manifolds diffeomorphic outside a circle

Author: Stefano Vidussi
Journal: Proc. Amer. Math. Soc. 129 (2001), 2489-2496
MSC (2000): Primary 57R57; Secondary 57Mxx
Published electronically: December 28, 2000
MathSciNet review: 1823936
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Abstract: In this paper we prove that simple type four manifolds with $b_{2}^{+}>1$which are diffeomorphic outside a point or outside a wedge of circles have the same Seiberg-Witten invariants, excluding the use of these invariants to detect eventual inequivalent smooth structures.

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Additional Information

Stefano Vidussi
Affiliation: Centre de Mathématiques, UMR 7640 du CNRS, École Polytechnique, 91128 Palaiseau Cedex, France
Address at time of publication: Department of Mathematics, University of California, Irvine, California 92697

Keywords: Seiberg-Witten invariants, smooth topology of four manifolds
Received by editor(s): August 27, 1999
Received by editor(s) in revised form: December 10, 1999
Published electronically: December 28, 2000
Additional Notes: The author would like to thank Stefano Demichelis for several discussions.
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2000 American Mathematical Society

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