Diffeomorphisms, symplectic forms, and Kodaira fibrations

Details Diffeomorphisms, symplectic forms, and Kodaira fibrations Diffeomorphisms, symplectic forms, and Kodaira fibrations

2000-05-19

arxiv.org/abs/math/0005195v2

Geom. Topol. 4(2000) 451-456

Mathematics

Symplectic Geometry

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper16.abs.html

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Diffeomorphisms, symplectic forms, and Kodaira fibrations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Diffeomorphisms, symplectic forms, and Kodaira fibrations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffeomorphisms, symplectic forms, and Kodaira fibrations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-617430