21 citations · 34 across the 3 of their papers we have counts for
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math.AG2009★ 3 cited
Computations of quantum Giambelli formulas in some exceptional homogeneous spaces
Pierre-Emmanuel Chaput, Nicolas Perrin
This paper gathers results obtained with a software written in Java. For exceptional minuscule, quasi-minuscule, cominuscule or adjoint homogeneous spaces, the Schubert cells are e…
math.AG2009★ 10 cited
Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces
Pierre-Emmanuel Chaput, Nicolas Perrin
We prove a general combinatorial formula yielding the intersection number of three particular -minuscule Schubert classes in any Kac-Moody homogeneous space, general…
math.AG2006★ 21 cited
Quantum cohomology of minuscule homogeneous spaces II : Hidden symmetries
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
We prove that the quantum cohomology ring of any minuscule or cominuscule homogeneous space, once localized at the quantum parameter, has a non trivial involution mapping Schubert…