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arXiv · 2002.09936

A Riemann-Roch type theorem for twisted fibrations of moment graphs

Martina Lanini·Kirill Zainoulline
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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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BibTeXRIS

Martina Lanini, Kirill Zainoulline. 2020-02-23. A Riemann-Roch type theorem for twisted fibrations of moment graphs. https://arxiv.org/abs/2002.09936

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