Geodesic
Diffeomorphisms, symplectic forms and Kodaira fibrations
LeBrun, Claude1
1 Department of Mathematics, SUNY at Stony Brook, Stony Brook, New York 11794-3651, USA
Geometry & topology, Tome 4 (2000) no. 1, pp. 451-456.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

As was recently pointed out by McMullen and Taubes [Math. Res. Lett. 6 (1999) 681–696], there are 4–manifolds for which the diffeomorphism group does not act transitively on the deformation classes of orientation-compatible symplectic structures. This note points out some other 4–manifolds with this property which arise as the orientation-reversed versions of certain complex surfaces constructed by Kodaira [J. Analyse Math. 19 (1967) 207–215]. While this construction is arguably simpler than that of McMullen and Taubes, its simplicity comes at a price: the examples exhibited herein all have large fundamental groups.

DOI : 10.2140/gt.2000.4.451
Keywords: symplectic manifold, complex surface, Seiberg–Witten invariants

LeBrun, Claude 1

1 Department of Mathematics, SUNY at Stony Brook, Stony Brook, New York 11794-3651, USA 
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LeBrun, Claude. Diffeomorphisms, symplectic forms and Kodaira fibrations. Geometry & topology, Tome 4 (2000) no. 1, pp. 451-456. doi : 10.2140/gt.2000.4.451. http://geodesic.mathdoc.fr/articles/10.2140/gt.2000.4.451/

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