کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9518074 | 1345518 | 2005 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Computation of generalized equivariant cohomologies of Kac-Moody flag varieties
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Computation of generalized equivariant cohomologies of Kac-Moody flag varieties Computation of generalized equivariant cohomologies of Kac-Moody flag varieties](/preview/png/9518074.png)
چکیده انگلیسی
In 1998, Goresky, Kottwitz, and MacPherson showed that for certain projective varieties X equipped with an algebraic action of a complex torus T, the equivariant cohomology ring HT*(X) can be described by combinatorial data obtained from its orbit decomposition. In this paper, we generalize their theorem in three different ways. First, our group G need not be a torus. Second, our space X is an equivariant stratified space, along with some additional hypotheses on the attaching maps. Third, and most important, we allow for generalized equivariant cohomology theories EG* instead of HT*. For these spaces, we give a combinatorial description of EG*(X) as a subring of âEG*(Fi), where the Fi are certain invariant subspaces of X. Our main examples are the flag varieties G/P of Kac-Moody groups G, with the action of the torus of G. In this context, the Fi are the T-fixed points and EG* is a T-equivariant complex oriented cohomology theory, such as HT*, KT* or MUT*. We detail several explicit examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 197, Issue 1, 20 October 2005, Pages 198-221
Journal: Advances in Mathematics - Volume 197, Issue 1, 20 October 2005, Pages 198-221
نویسندگان
Megumi Harada, André Henriques, Tara S. Holm,