Non Symplectic Actions on Complex Projective Spaces

Abstract

We construct smooth actions of arbitrary compact Lie groups on complex projective spaces, such that the corresponding transformations arising from the group action do not preserve any symplectic structure on the complex projective space.

Publication
Journal of Symplectic Geometry, Volume 10, Issue 1 (2012), p. 17-26
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Marek Kaluba
Mathematician

My research interests include computational algebra, geometric group theory (in particular: property (T)) and (previously) surgery aspects of manifolds.