Quaternionic algebraic cycles and reality

被引：13
作者：
Dos Santos, PF [1 ]
Lima, P
机构：
[1] Inst Super Tecn, Dept Matemat, Lisbon, Portugal
[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 12期
关键词：
D O I：
10.1090/S0002-9947-04-03663-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we compute the equivariant homotopy type of spaces of algebraic cycles on real Brauer-Severi varieties, under the action of the Galois group Gal(C/R). Appropriate stabilizations of these spaces yield two equivariant spectra. The first one classifies Dupont/Seymour's quaternionic K-theory, and the other one classifies an equivariant cohomology theory Z3*(-) which is a natural recipient of characteristic classes KH*(X)-->3*(X) for quaternionic bundles over Real spaces X.
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页码：4701 / 4736
页数：36
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