Poisson Structures and Star Products on Quasimodular Forms
نویسنده
چکیده
We construct and classify all Poisson structures on quasimodular forms that extend the one coming from the first Rankin-Cohen bracket on the modular forms. We use them to build formal deformations on the algebra of quasimodular forms.
منابع مشابه
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We prove the existence of a deformation quantization for integrable Poisson structures on R 3 and give a generalization for a special class of three dimensional manifolds. The program of deformation quantization of the function algebra on a sym-plectic manifold extends naturally to manifolds with nonregular Poisson structures. In contrast to symplectic manifolds the existence of star products o...
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