Geodesic
Oriented Cohomology Sheaves on Double Moment Graphs
Documenta mathematica, Tome 24 (2019), pp. 563-608
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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.
DOI : 10.4171/dm/689
Classification : 14F08, 14F43, 14M15
Mots-clés : motive, equivariant cohomology, moment graph, projective homogeneous space 
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     author = {Rostislav Devyatov and Martina Lanini and Kirill Zainoulline},
     title = {Oriented {Cohomology} {Sheaves} on {Double} {Moment} {Graphs}},
     journal = {Documenta mathematica},
     pages = {563--608},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/689},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/689/}
}
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Rostislav Devyatov; Martina Lanini; Kirill Zainoulline. Oriented Cohomology Sheaves on Double Moment Graphs. Documenta mathematica, Tome 24 (2019), pp. 563-608. doi: 10.4171/dm/689

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