Nested fibre bundles in Bott-Samelson varieties
Representation Theory
2020-06-02 v1 Algebraic Geometry
Algebraic Topology
Abstract
We give a topological explanation of the main results of V.Shchigolev, Categories of Bott-Samelson Varieties, Algebras and Representation Theory, 23 (2), 349-391, 2020. To this end, we consider some subspaces of Bott-Samelson varieties invariant under the action of the maximal compact torus and study their topological and homological properties. Moreover, we describe multiplicative generators of the equivariant cohomologies of Bott-Samelson varieties.
Cite
@article{arxiv.2006.00551,
title = {Nested fibre bundles in Bott-Samelson varieties},
author = {Vladimir Shchigolev},
journal= {arXiv preprint arXiv:2006.00551},
year = {2020}
}