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Maximal tori in the contactomorphism groups of circle bundles over Hirzebruch surfaces
In a recent preprint Yael Karshon showed that there exist nonconjugate tori in a group of symplectomorphisms of a Hirzebruch surface.She counted them in terms of the cohomology class of the symplectic structure.We show that a similar phenomenon exists in the contactomorphism groups of prequantum circle bundles over Hirzebruch surfaces.Note …