2004/12/16 by Martin Haerterich, Haerterich, Martin
Mathematics · #14M15 #55N91 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT #msc:14M15 #msc:55N91
paper · pdf · doi:10.48550/arxiv.math/0412337
17 pages
arxiv created 2004/12/16 · arxiv updated 2009/12/01
We consider the T-equivariant cohomology of Bott-Samelson desingularisations of Schubert varieties in the flag manifold of a connected semi-simple complex algebraic group of adjoint type with maximal torus T. We construct a combinatorially pure (in the sense of T. Braden and R. Macpherson) sheaf on the Bruhat graph of the associated Weyl group such that its global sections give the T-equivariant cohomology of our Bott-Samelson resolution.