In the present paper we extend the Riemann-Roch formalism to structure algebras of moment graphs. We introduce and study the Chern character and push-forwards 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 the equivariant K-theory of some Kac-Moody flag varieties.
Lanini, M., Zainoulline, K. (2021). A Riemann-Roch type theorem for twisted fibrations of moment graphs. ARKIV FÖR MATEMATIK, 59(2), 359-384 [10.4310/ARKIV.2021.v59.n2.a6].
A Riemann-Roch type theorem for twisted fibrations of moment graphs
Lanini M.
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2021-01-01
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 push-forwards 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 the equivariant K-theory of some Kac-Moody flag varieties.File in questo prodotto:
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