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

Algebraic Geometry 2020-03-06 v1 Combinatorics Representation Theory

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 KK-theory of some Kac-Moody flag varieties.

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Cite

@article{arxiv.2002.09936,
  title  = {A Riemann-Roch type theorem for twisted fibrations of moment graphs},
  author = {Martina Lanini and Kirill Zainoulline},
  journal= {arXiv preprint arXiv:2002.09936},
  year   = {2020}
}

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20 pages