Poisson structures and star products on quasimodular forms

Abstract

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.

21 pages

References in corpus (2)

• Poisson (co)homology and isolated singularities
• Rankin-Cohen brackets on quasimodular forms