Equivariant Forms

Abdelkrim El Basraoui
The goal of this thesis is to develop the theory of the so-called equivariant forms. Precisely, we study and classify all meromorphic functions of the extended upper-half plane h* that commute with the action of a finite index subgroup of SL 2( Z ) on h* . It is shown that they are intimately connected to modular forms, differential forms and quasimodular forms, and hence inherit their structures. A close connection with different geometric objets...
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