Quantization formula for symplectic manifolds with boundary
In the paper under review the authors extend their previous result [Invent. Math. 132, 229-259, (1998; Zbl 0944.53047)] to the case of symplectic manifolds with boundary. They also give a general quantization formula that works for both regular and singular reduction. As simple applications they obtain analytic versions of the relative residue formula of Guillemin and Kalkman as well was a Guillemin-Sternberg type formula for singular reductions under circle actions.
scientific article; zbMATH DE number 1346313
scientific article