English

Poisson structures and star products on quasimodular forms

Rings and Algebras 2016-01-20 v2 Number Theory

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.

Keywords

Cite

@article{arxiv.1306.3634,
  title  = {Poisson structures and star products on quasimodular forms},
  author = {François Dumas and Emmanuel Royer},
  journal= {arXiv preprint arXiv:1306.3634},
  year   = {2016}
}

Comments

21 pages

R2 v1 2026-06-22T00:34:27.158Z