The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types
نویسندگان
چکیده
منابع مشابه
A Chevalley-Monk and Giambelli’s Formula for Peterson Varieties of All Lie Types
A Peterson variety is a subvariety of the flag variety G/B defined by certain linear conditions. Peterson varieties appear in the construction of the quantum cohomology of partial flag varieties and in applications to the Toda flows. Each Peterson variety has a one-dimensional torus S acting on it. We give a basis of Peterson Schubert classes for H∗ S1(Pet) and identify the ring generators. In ...
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Peterson varieties are a special class of Hessenberg varieties that have been extensively studied e.g. by Peterson, Kostant, and Rietsch, in connection with the quantum cohomology of the flag variety. In this manuscript, we develop a generalized Schubert calculus, and in particular a positive Chevalley-Monk formula, for the ordinary and Borel-equivariant cohomology of the Peterson variety Y in ...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2015
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2014-048-0