#### 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 $n\in ℕ$, 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
##### 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