Topological automorphic forms on U(1,1)

被引：0
|
作者：
Behrens, Mark [1 ]
Lawson, Tyler [2 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02140 USA
[2] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA
来源：
MATHEMATISCHE ZEITSCHRIFT | 2011年 / 267卷 / 3-4期
基金：
美国国家科学基金会;
关键词：
Homotopy groups; Cohomology theories; Automorphic forms; Shimura varieties;
D O I：
10.1007/s00209-009-0632-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The homotopy type and homotopy groups of some spectra TAF (GU) of topological automorphic forms associated to a unitary similitude group GU of type (1, 1) are explicitly described in quasi-split cases. The spectrum TAF (GU) is shown to be closely related to the spectrum TMF in these cases, and homotopy groups of some of these spectra are explicitly computed.
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页码：497 / 522
页数：26
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