The T-equivariant Cohomology of Bott-Samelson varieties
Algebraic Geometry
2007-05-23 v1 Geometric Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0412337,
title = {The T-equivariant Cohomology of Bott-Samelson varieties},
author = {Martin Haerterich},
journal= {arXiv preprint arXiv:math/0412337},
year = {2007}
}
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17 pages