On the Twisted K-Homology of Simple Lie Groups
| dc.creator | Douglas, Christopher L. | |
| dc.date | 2004-02-05 | |
| dc.date | 2008-03-19 | |
| dc.date.accessioned | 2026-07-07T09:27:24Z | |
| dc.date.available | 2026-07-07T09:27:24Z | |
| dc.description | We prove that the twisted K-homology of a simply connected simple Lie group G of rank n is an exterior algebra on n-1 generators tensor a cyclic group. We give a detailed description of the order of this cyclic group in terms of the dimensions of irreducible representations of G and show that the congruences determining this cyclic order lift along the twisted index map to relations in the twisted Spin-c bordism group of G. | |
| dc.description | 38 pages, 2 figures. Added table of contents, remarks in sections 1.2 and 4.1.2 | |
| dc.identifier | https://arxiv.org/abs/math/0402082 | |
| dc.identifier | http://arxiv.org/abs/math/0402082 | |
| dc.identifier | Topology 45 (2006), 955-988 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157087 | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.title | On the Twisted K-Homology of Simple Lie Groups | |
| dc.type | text |