Spin-quantization commutes with reduction

Paul-Emile Paradan (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

In this paper, we prove that the ''quantization commutes with reduction'' phenomenon of Guillemin-Sternberg applies in the context of the metaplectic correction.

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

Paul-Emile Paradan. Spin-quantization commutes with reduction. 2009. ⟨hal-00430117v1⟩