A Non-formal Formula for the Rankin-Cohen Deformation Quantization
(2023) published
Files
978-3-031-38271-0_52.pdf
Open Access - Adobe PDF
- 286.93 KB
Details
- Authors
- Abstract
- Don Zagier’s superposition of Rankin-Cohen brackets on the Lie group \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$SL_2(\mathbb {R})$$\end{document} defines an associative formal deformation of the algebra of modular forms on the hyperbolic plane . This formal deformation has been used in to establish strong connections between the theory of modular forms and that of regular foliations of co-dimension one. Alain Connes and Henri Moscovici also proved that Rankin-Cohen’s deformation gives rise to a formal universal deformation formula (UDF) for actions of the group \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts … Scholar articles
- Affiliations
Citations
Bieliavsky, P., & Dendoncker, V. (2023). A Non-formal Formula for the Rankin-Cohen Deformation Quantization. Springer. https://doi.org/10.1007/978-3-031-38271-0_52