Consider a sum of m copies of the tautological bundle over the Grassmannian of nplanes in complex kdimensional vector space. There is an obvious action of an (m+k)dimensional torus T on the total space of this bundle. Did anybody compute the Tequivariant quantum cohomology ring of this space? Or perhaps Tequivariant quantum Ktheory?
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$\begingroup$ The center of $GL_k$ acts in the same way as the diagonal in the $m$dimensional torus. So, your action has 1dimensional kernel. $\endgroup$– SashaSep 15, 2012 at 15:10

$\begingroup$ (Oops, I had a wrong comment based on misreading $k$ vs. $n$  the literature I read all has $k$planes in $n$space, not the reverse.) $\endgroup$– Allen KnutsonSep 18, 2012 at 10:05
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