Abstract
We prove several versions of "quantization commutes with reduction" for circle actions on manifolds that are not symplectic. Instead, these manifolds possess a weaker structure, such as a spin0 structure. Our theorems work whenever the quantization data and the reduction data are compatible; this condition always holds if we start from a presymplectic (in particular, symplectic) manifold.
| Original language | English |
|---|---|
| Pages (from-to) | 525-552 |
| Number of pages | 28 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 352 |
| Issue number | 2 |
| State | Published - 2000 |
| Externally published | Yes |
Funding
| Funders | Funder number |
|---|---|
| Directorate for Mathematical and Physical Sciences | 9022140, 9404404 |