Higher spectral flow
| dc.creator | Dai, Xianzhe | |
| dc.creator | Zhang, Weiping | |
| dc.date | 1996-08-08 | |
| dc.date.accessioned | 2026-07-07T09:12:50Z | |
| dc.date.available | 2026-07-07T09:12:50Z | |
| dc.description | For a continuous curve of families of Dirac type operators we define a higher spectral flow as a $K$-group element. We show that this higher spectral flow can be computed analytically by $\heta$-forms, and is related to the family index in the same way as the spectral flow is related to the index. We introduce a notion of Toeplitz family and relate its index to the higher spectral flow. Applications to family indices for manifolds with boundary are also given. | |
| dc.description | Latex, 35 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9608002 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9608002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152155 | |
| dc.subject | Differential Geometry | |
| dc.title | Higher spectral flow | |
| dc.type | text |