Braden, Tom Perverse sheaves on Grassmannians. (English) Zbl 1009.32019 Can. J. Math. 54, No. 3, 493-532 (2002). The author gives a very precise and explicit description of the quiver category of perverse sheaves constructible with respect to the Schubert stratification on a Hermitian symmetric space \(X\) of type A (a Grassmannian) and of type B (an isotropic Grassmannian). He uses microlocal techniques and the action of the Borel group on the conormal variety to the Schubert stratification of \(X\). He also discusses why his methods fail for a general flag variety \(G/B\). Reviewer: Edoardo Ballico (Povo) Cited in 1 ReviewCited in 23 Documents MSC: 32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) 32C38 Sheaves of differential operators and their modules, \(D\)-modules 35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 14M15 Grassmannians, Schubert varieties, flag manifolds Keywords:microlocal geometry; constructible sheaf; quiver category; perverse sheaves; Hermitian symmetric space; Grassmannian; isotropic Grassmannian; conormal variety; flag variety PDFBibTeX XMLCite \textit{T. Braden}, Can. J. Math. 54, No. 3, 493--532 (2002; Zbl 1009.32019) Full Text: DOI arXiv