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. Journal of Symplectic Geometry, 2012, 10 (3), pp.389-422. ⟨10.4310/JSG.2012.v10.n3.a2⟩. ⟨hal-00430117v2⟩