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- W3100351710 abstract "Given a contact manifold M# together with a transversal infinitesimal automorphism ξ, we show that any local leaf space M for the foliation determined by ξ naturally carries a conformally symplectic (cs-) structure. Then we show that the Rumin complex on M# descends to a complex of differential operators on M, whose cohomology can be computed. Applying this construction locally, one obtains a complex intrinsically associated with any manifold endowed with a cs-structure, which recovers the generalization of the so-called Rumin–Seshadri complex to the conformally symplectic setting. The cohomology of this more general complex can be computed using the push-down construction." @default.
- W3100351710 created "2020-11-23" @default.
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- W3100351710 date "2014-09-01" @default.
- W3100351710 modified "2023-09-23" @default.
- W3100351710 title "Pushing down the Rumin complex to conformally symplectic quotients" @default.
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- W3100351710 doi "https://doi.org/10.1016/j.difgeo.2014.05.004" @default.
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