Nested fibre bundles in BottSamelson varieties
Abstract
We give a topological explanation of the main results of V.Shchigolev, Categories of BottSamelson Varieties, Algebras and Representation Theory, 23 (2), 349391, 2020. To this end, we consider some subspaces of BottSamelson varieties invariant under the action of the maximal compact torus $K$ and study their topological and homological properties. Moreover, we describe multiplicative generators of the equivariant cohomologies of BottSamelson varieties.
 Publication:

arXiv eprints
 Pub Date:
 May 2020
 DOI:
 10.48550/arXiv.2006.00551
 arXiv:
 arXiv:2006.00551
 Bibcode:
 2020arXiv200600551S
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Algebraic Geometry;
 Mathematics  Algebraic Topology;
 55N91