Maslov index in the infinite dimension and a splitting formula for a spectral flow
| dc.creator | Furutani, Kenro | |
| dc.creator | Otsuki, Nobukazu | |
| dc.date | 2003-06-28 | |
| dc.date.accessioned | 2026-07-07T06:32:56Z | |
| dc.date.available | 2026-07-07T06:32:56Z | |
| dc.description | First, we prove a local spectral flow formula (Theorem 3.7) for a differentiable curve of selfadjoint Fredholm operators. This formula enables us to prove in a simple way a general spectral flow formula. Secondly, we prove a splitting formula (Theorem 4.12) for the spectral flow of a curve of selfadjoint elliptic operators on a closed manifold, which we decompose into two parts with commom boundary. Then the formula says that the spectral flow is a sum of two spectral flows on each part of the separated manifold with naturally introduced elliptic boundary conditions. In the course of proving this formula, we investigate a property of the Maslov index for paths of Fredholm pairs of Lagrangian subspaces | |
| dc.identifier | https://arxiv.org/abs/math/0306409 | |
| dc.identifier | http://arxiv.org/abs/math/0306409 | |
| dc.identifier | Japanese Journal of Mathematics, Vol. 28, No. 2, pp. 215-243(2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99024 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 32C17;57R15;58F06 | |
| dc.title | Maslov index in the infinite dimension and a splitting formula for a spectral flow | |
| dc.type | text |