Geodesic
Oriented Cohomology Sheaves on Double Moment Graphs
Documenta mathematica, Tome 24 (2019), pp. 563-608.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 \texttt{h} (e.g. to algebraic cobordism). We introduce and investigate structure \texttt{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 \texttt{h}-sheaf also describes the endomorphism ring of the equivariant \texttt{h}-motive of $X$.
Classification : 14F08, 14F43, 14M15
Keywords: moment graph, equivariant cohomology, motive, projective homogeneous space 
@article{DOCMA_2019__24__a46,
     author = {Devyatov, Rostislav and Lanini, Martina and Zainoulline, Kirill},
     title = {Oriented {Cohomology} {Sheaves} on {Double} {Moment} {Graphs}},
     journal = {Documenta mathematica},
     pages = {563--608},
     publisher = {mathdoc},
     volume = {24},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a46/}
}
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Devyatov, Rostislav; Lanini, Martina; Zainoulline, Kirill. Oriented Cohomology Sheaves on Double Moment Graphs. Documenta mathematica, Tome 24 (2019), pp. 563-608. http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a46/