A Riemann-Roch type theorem for twisted fibrations of moment graphs (2002.09936v1)

Published 23 Feb 2020 in math.AG, math.CO, and math.RT

Abstract: In the present paper we extend the Riemann-Roch formalism to structure algebras of moment graphs. We introduce and study the Chern character and pushforwards for twisted fibrations of moment graphs. We prove an analogue of the Riemann-Roch theorem for moment graphs. As an application, we obtain the Riemann-Roch type theorem for equivariant $K$-theory of some Kac-Moody flag varieties.

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