Formal geometric quantization II

Paul-Emile Paradan (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

In this paper we pursue the study of formal geometric quantization of non-compact Hamiltonian manifolds. Our main result is the proof that two quantization process coincide. This fact was obtained by Ma and Zhang in the preprint Arxiv:0812.3989 by completely different means.

Domaines: Géométrie symplectique [math.SG]; Géométrie différentielle [math.DG]

Paul-Emile Paradan. Formal geometric quantization II. Pacific Journal of Mathematics, 2011, 1 (253), pp.169-211. ⟨10.2140/pjm.2011.253.169⟩. ⟨hal-00398077⟩