Homotopy decompositions and K-theory of Bott towers
| dc.creator | Civan, Yusuf | |
| dc.creator | Ray, Nigel | |
| dc.date | 2004-08-19 | |
| dc.date.accessioned | 2026-07-07T05:11:24Z | |
| dc.date.available | 2026-07-07T05:11:24Z | |
| dc.description | We describe Bott towers as sequences of toric manifolds M^k, and identify the omniorientations which correspond to their original construction as toric varieties. We show that the suspension of M^k is homotopy equivalent to a wedge of Thom complexes, and display its complex K-theory as an algebra over the coefficient ring. We extend the results to KO-theory for several families of examples, and compute the effects of the realification homomorphism; these calculations breathe geometric life into Bahri and Bendersky's recent analysis of the Adams Spectral Sequence. By way of application we investigate stably complex structures on M^k, identifying those which arise from omniorientations and those which are almost complex. We conclude with observations on the role of Bott towers in complex cobordism theory. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408261 | |
| dc.identifier | http://arxiv.org/abs/math/0408261 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72228 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N15; 57N65 | |
| dc.title | Homotopy decompositions and K-theory of Bott towers | |
| dc.type | text |