Homotopy K3’s with several symplectic structures

In this note we prove that, for any $n \in ℕ$ , there exist a smooth 4–manifold, homotopic to a $K 3$ 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

References

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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

Volume 5, issue 1 (2001)

Stefano Vidussi