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Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae | | R. Rimanyi
; A. Varchenko
; | | Date: |
30 Sep 2015 | | Abstract: | Consider the natural torus action on a partial flag manifold $Fl$. Let
$Omega_Isubset Fl$ be an open Schubert variety, and let $c^{sm}(Omega_I)in
H_T^*(Fl)$ be its torus equivariant Chern-Schwartz-MacPherson class. We show a
set of interpolation properties that uniquely determine $c^{sm}(Omega_I)$, as
well as a formula, of ’localization type’, for $c^{sm}(Omega_I)$. In fact, we
proved similar results for a class $kappa_Iin H_T^*(Fl)$ --- in the context
of quantum group actions on the equivariant cohomology groups of partial flag
varieties. In this note we show that $c^{SM}(Omega_I)=kappa_I$. | | Source: | arXiv, 1509.9315 | | Services: | Forum | Review | PDF | Favorites | |
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