%0 Journal Article
%T Equivariant Cohomology of Weighted Grassmannians and Weighted Schubert Classes
%A Hiraku Abe
%A Tomoo Matsumura
%J Mathematics
%D 2012
%I arXiv
%X In this paper, we study the T_w-equivariant cohomology of the weighted Grassmannians wGr(d,n) introduced by Corti-Reid where T_w is the n-dimensional torus that naturally acts on wGr(d,n). We introduce the equivariant weighted Schubert classes and, after we show that they form a basis of the equivariant cohomology, we give an explicit formula for the structure constants with respect to this Schubert basis. We also find a linearly independent subset {wu_1,...,wu_n} of Lie(T_w)^* such that those structure constants are polynomials in wu_i's with non-negative coefficients, up to a permutation on the weights.
%U http://arxiv.org/abs/1207.2216v2