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arXiv 1506.04411math.AG
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等变上同调理论与模式映射

Equivariant cohomology theories and the pattern map

Praise Adeyemo, Frank Sottile

摘要:

Billey和Braden在旗流形上定义了一个几何模式映射,它推广了Billey和Postnikov在外尔群上的推广模式映射.这个环面等变映射与Bruhat序的相互作用及其线丛上的作用导致了等变上同调环和等变K-理论上的拉回公式。这些公式是在波莱尔介绍,舒伯特类的基础上,和本地化的环面不动点。

英文摘要:

Billey and Braden defined a geometric pattern map on flag manifolds which extends the generalized pattern map of Billey and Postnikov on Weyl groups. The interaction of this torus equivariant map with the Bruhat order and its action on line bundles lead to formulas for its pullback on the equivariant cohomology ring and on equivariant K-theory. These formulas are in terms of the Borel presentation, the basis of Schubert classes, and localization at torus fixed points.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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