Abstract

Explicit combinatorial cancellation-free rules are given for the product of an equivariant line bundle class with a Schubert class in the torus-equivariant $K$-theory of a Kac-Moody flag manifold. The weight of the line bundle may be dominant or antidominant, and the coefficients may be described either by Lakshmibai-Seshadri paths or by the $\lambda$-chain model of the first author and Postnikov. For Lakshmibai-Seshadri paths, our formulas are the Kac-Moody generalizations of results of Griffeth and Ram and Pittie and Ram for finite dimensional flag manifolds. A gap in the proofs of the mentioned results is addressed.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1175-1213
Launched on MUSE
2014-09-19
Open Access
No
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