The Chow ring of the classifying space $BSO(2n,{\mathbb C})$
| dc.creator | Field, Rebecca E. | |
| dc.date | 2004-11-19 | |
| dc.date.accessioned | 2026-07-07T05:14:29Z | |
| dc.date.available | 2026-07-07T05:14:29Z | |
| dc.description | We compute the Chow ring of the classifying space $BSO(2n,\C)$ in the sense of Totaro using the fibration $Gl(2n)/SO(2n) \to BSO(2n) \to BGl(2n)$ and a computation of the Chow ring of $Gl(2n)/SO(2n)$ in a previous paper. We find this Chow ring is generated by Chern classes and a characteristic class defined by Edidin and Graham which maps to $2^{n-1}$ times the Euler class under the usual class map from the Chow ring to ordinary cohomology. Moreover, we show this class represents $1/2^{n-1}(n-1)!$ times the $n^{th}$ Chern class of the representation of SO(2n) whose highest weight vector is twice that of the half-spin representation. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411424 | |
| dc.identifier | http://arxiv.org/abs/math/0411424 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73292 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14L30, 14C15 | |
| dc.title | The Chow ring of the classifying space $BSO(2n,{\mathbb C})$ | |
| dc.type | text |