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arXiv · 1710.10275

Oriented cohomology sheaves on double moment graphs

Rostislav Devyatov·Martina Lanini·Kirill Zainoulline
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Abstract

In the present paper we extend the theory of sheaves on moment graphs due to Braden-MacPherson and Fiebig to the context of an arbitrary oriented equivariant cohomology h (e.g. to algebraic cobordism). We introduce and investigate structure h-sheaves on double moment graphs to describe equivariant oriented cohomology of products of flag varieties. We show that in the case of a total flag variety X of Dynkin type A the space of global sections of the double structure h-sheaf also describes the endomorphism ring of the equivariant h-motive of X.

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Rostislav Devyatov, Martina Lanini, Kirill Zainoulline. 2019-03-25. Oriented cohomology sheaves on double moment graphs. https://arxiv.org/abs/1710.10275

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