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 Cet article a éte moissonné depuis la source EMS Press

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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 
@article{JEMS_2017_19_8_a6,
     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},
     pages = {2469--2519},
     year = {2017},
     volume = {19},
     number = {8},
     doi = {10.4171/jems/722},
     url = {http://geodesic.mathdoc.fr/articles/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

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