Filtered moment graph sheaves

Abstract

We introduce the notion of (co-)filtered sheaves on quotients of moment graphs by a group action. We then introduce a (co-)filtered version of the canonical sheaves of Braden and MacPherson and show that their global sections are the indecomposable projective objects in a suitably defined exact category.

23 pages

References in corpus (2)

• Schubert calculus and torsion explosion
• Sheaves on the alcoves I: Projectivity and wall crossing functors