Volume 5, issue 1 (2001)

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Homotopy K3's with several symplectic structures

Stefano Vidussi

Geometry & Topology 5 (2001) 267–285

arXiv: math.GT/0103158

Abstract

In this note we prove that, for any n , there exist a smooth 4–manifold, homotopic to a K3 surface, defined by applying the link surgery method of Fintushel–Stern to a certain 2–component graph link, which admits n inequivalent symplectic structures.

Keywords
Symplectic topology, 4–manifolds, Seiberg–Witten theory
Mathematical Subject Classification 2000
Primary: 57R57
Secondary: 57R15, 57R17
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Publication
Received: 12 December 2000
Revised: 19 February 2001
Accepted: 20 March 2001
Published: 24 March 2001
Proposed: Ronald Fintushel
Seconded: Robion Kirby, Ronald Stern
Authors
Stefano Vidussi
Department of Mathematics
University of California
Irvine
California 92697
USA