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• W2247110188 abstract "We build homogeneous quasi-morphisms on the universal cover of the contactomorphism group for certain prequantizations of symplectic toric manifolds. This is done using Givental's nonlinear Maslov index and a contact reduction technique for quasi-morphisms. We show how these quasi-morphisms lead to a hierarchy of rigid subsets of contact manifolds. As a corollary we establish symplectic rigidity for the real part of weighted projective spaces. We also show that the nonlinear Maslov index has a vanishing property, which plays a key role in our proofs. Finally we present applications to orderability of contact manifolds and Sandon-type metrics on contactomorphism groups." @default.
• W2247110188 created "2016-06-24" @default.
• W2247110188 creator A5022653592 @default.
• W2247110188 creator A5055212456 @default.
• W2247110188 date "2013-08-14" @default.
• W2247110188 modified "2023-09-27" @default.
• W2247110188 title "Reduction for quasi-morphisms on contactomorphism groups and contact rigidity" @default.
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• W2247110188 hasPublicationYear "2013" @default.
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