Geodesic
Positivity in $T$-equivariant $K$-theory of flag varieties associated to Kac–Moody groups
Journal of the European Mathematical Society, Tome 19 (2017) no. 8, pp. 2469-2519.

Voir la notice de l'article provenant de la source EMS Press

Let X=G/B be the full flag variety associated to a symmetrizable Kac–Moody group G. Let T be the maximal torus of G. The T-equivariant K-theory of X has a certain natural basis defined as the dual of the structure sheaves of the finite-dimensional Schubert varieties. We show that under this basis, the structure constants are polynomials with nonnegative coefficients. This result in the finite case was obtained by Anderson–Griffeth–Miller (following a conjecture by Graham–Kumar).
DOI : 10.4171/jems/722
Classification : 20-XX, 19-XX
Keywords: Kac–Moody groups, flag varieties, equivariant K-theory, positivity 
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     author = {Shrawan Kumar},
     title = {Positivity in $T$-equivariant $K$-theory of flag varieties associated to {Kac{\textendash}Moody} groups},
     journal = {Journal of the European Mathematical Society},
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     doi = {10.4171/jems/722},
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Shrawan Kumar. Positivity in $T$-equivariant $K$-theory of flag varieties associated to Kac–Moody groups. Journal of the European Mathematical Society, Tome 19 (2017) no. 8, pp. 2469-2519. doi : 10.4171/jems/722. http://geodesic.mathdoc.fr/articles/10.4171/jems/722/

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