Diffeomorphisms, symplectic forms, and Kodaira fibrations
辛几何
2014-11-11 v2 代数几何
摘要
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.
引用
@article{arxiv.math/0005195,
title = {Diffeomorphisms, symplectic forms, and Kodaira fibrations},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:math/0005195},
year = {2014}
}
备注
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper16.abs.html