Relative $K$-cycles and elliptic boundary conditions
| dc.creator | Gong, Guihua | |
| dc.date | 1993-01-01 | |
| dc.date.accessioned | 2026-07-07T09:14:51Z | |
| dc.date.available | 2026-07-07T09:14:51Z | |
| dc.description | In this paper, we discuss the following conjecture raised by Baum-Douglas: For any first-order elliptic differential operator $D$ on smooth manifold $M$ with boundary $\p M$, $D$ possesses an elliptic boundary condition if and only if $\partial [D]$ = 0 in $K_1(\partial M)$, where $[D]$ is the relative $K$-cycle in $K_0(M, \partial M)$ corresponding to $D$. We prove the ``if'' part of this conjecture for $\dim(M)$ $\not=$ 4, 5, 6, 7 and the ``only if'' part of the conjecture for arbitrary dimension. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/9301213 | |
| dc.identifier | http://arxiv.org/abs/math/9301213 | |
| dc.identifier | Bull. Amer. Math. Soc. (N.S.) 28 (1993) 104-108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152829 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.title | Relative $K$-cycles and elliptic boundary conditions | |
| dc.type | text |