Geometry & Topology

Homotopy K3's with several symplectic structures

Stefano Vidussi

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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.

Article information

Geom. Topol., Volume 5, Number 1 (2001), 267-285.

Received: 12 December 2000
Revised: 19 February 2001
Accepted: 20 March 2001
First available in Project Euclid: 21 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57R57: Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX]
Secondary: 57R15: Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) 57R17: Symplectic and contact topology

Symplectic topology 4–manifolds Seiberg–Witten theory


Vidussi, Stefano. Homotopy K3's with several symplectic structures. Geom. Topol. 5 (2001), no. 1, 267--285. doi:10.2140/gt.2001.5.267.

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