Equivariant Forms: Structure and Geometry

Canadian mathematical bulletin

Abdellah Sebbar¹  Abdelkrim Elbasraoui² 

[1] Department of Mathematics and Statistics, University of Ottawa, Ottawa Ontario;Centre de recherches mathématiques, Université de Montréal, C.P. 6128, Succursale Centre Ville, Montréal, Québec

关键词: equivariant forms;    modular forms;    Schwarz derivative;    cross-ratio;    differential forms;   

DOI  :  10.4153/CMB-2011-195-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we study the notion of equivariant forms introduced inthe authors' previous works. In particular, we completely classify all theequivariant forms for a subgroup of $operatorname{SL}_2(mathbb{Z})$by means of the cross-ratio, the weight2 modular forms, the quasimodular forms, as well as differential formsof a Riemann surface and sections of a canonical line bundle.

【 授权许可】

Unknown