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 of Dynkin type the space of global sections of the double structure
h-sheaf also describes the endomorphism ring of the equivariant
h-motive of .
Cite this article
Rostislav Devyatov, Martina Lanini, Kirill Zainoulline, Oriented Cohomology Sheaves on Double Moment Graphs. Doc. Math. 24 (2019), pp. 563–608DOI 10.4171/DM/689