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- W4289244075 abstract "We prove a version of Sandon's conjecture on the number of translated points of contactomorphisms for the case of prequantization bundles over certain closed monotone symplectic toric manifolds. Namely we show that any contactomorphism of such a prequantization bundle lying in the identity component of the contactomorphism group possesses at least $N$ translated points, where $N$ is the minimal Chern number of the symplectic toric manifold. The proof relies on the theory of generating functions coupled with equivariant cohomology, whereby we adapt Givental's approach to the Arnold conjecture for integral symplectic toric manifolds to the context of prequantization bundles." @default.
- W4289244075 created "2022-08-01" @default.
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- W4289244075 date "2021-01-01" @default.
- W4289244075 modified "2023-10-16" @default.
- W4289244075 title "Translated points for contactomorphisms of prequantization spaces over monotone symplectic toric manifolds" @default.
- W4289244075 doi "https://doi.org/10.4310/jsg.2021.v19.n6.a3" @default.
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