An Index Theorem for Toeplitz Operators on Odd Dimensional Manifolds with Boundary
| dc.creator | Dai, Xianzhe | |
| dc.creator | Zhang, Weiping | |
| dc.date | 2001-03-30 | |
| dc.date | 2006-05-06 | |
| dc.date.accessioned | 2026-07-07T06:35:24Z | |
| dc.date.available | 2026-07-07T06:35:24Z | |
| dc.description | We establish an index theorem for Toeplitz operators on odd dimensional spin manifolds with boundary. It may be thought of as an odd dimensional analogue of the Atiyah-Patodi-Singer index theorem for Dirac operators on manifolds with boundary. In particular, there occurs naturally an invariant of $η$ type associated to $K^1$ representatives on even dimensional manifolds, which should be of independent interests. For example, it gives an intrinsic interpretation of the so called Wess-Zumino term in the WZW theory in physics. | |
| dc.description | Completely revised. A gap in the proof fixed. To appear in JFA | |
| dc.identifier | https://arxiv.org/abs/math/0103230 | |
| dc.identifier | http://arxiv.org/abs/math/0103230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99781 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58Gxx | |
| dc.title | An Index Theorem for Toeplitz Operators on Odd Dimensional Manifolds with Boundary | |
| dc.type | text |