On the $L^p$ index of spin Dirac operators on conical manifolds
| dc.creator | Legrand, André | |
| dc.creator | Moroianu, Sergiu | |
| dc.date | 2004-07-02 | |
| dc.date.accessioned | 2026-07-07T07:45:17Z | |
| dc.date.available | 2026-07-07T07:45:17Z | |
| dc.description | We compute the index of the Dirac operator on spin Riemannian manifolds with conical singularities, acting from $L^p(Σ^+)$ to $L^q(Σ^-)$ with $p,q>1$. When $1+\frac{n}{p}-\frac{n}{q}>0$ we obtain the usual Atiyah-Patodi-Singer formula, but with a spectral cut at $\frac{n+1}{2}-\frac{n}{q}$ instead of 0 in the definition of the eta invariant. In particular we reprove Chou's formula for the $L^2$ index. For $1+\frac{n}{p}-\frac{n}{q}\leq 0$ the index formula contains an extra term related to the Calderón projector. | |
| dc.description | 17 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0407027 | |
| dc.identifier | http://arxiv.org/abs/math/0407027 | |
| dc.identifier | Studia Math. 177 (2006), 97-112. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123482 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58J20 | |
| dc.title | On the $L^p$ index of spin Dirac operators on conical manifolds | |
| dc.type | text |