Title: Oriented Cohomology Sheaves on Double Moment Graphs
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 \mathtt h (e.g. to algebraic co...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 \mathtt h (e.g. to algebraic cobordism). We introduce and investigate structure \mathtt 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 \mathtt h -sheaf also describes the endomorphism ring of the equivariant \mathtt h -motive of X .Read More