Tensor product decompositions for cohomologies of Bott-Samelson varieties
Vladimir Shchigolev

TL;DR
This paper establishes tensor product decompositions for the equivariant cohomology of Bott-Samelson varieties, revealing new structural insights into their fixed point sets and cohomological restrictions.
Contribution
It introduces tensor product decompositions for the restriction maps in equivariant cohomology of Bott-Samelson varieties, expanding understanding of their algebraic structure.
Findings
Proved tensor product decompositions for cohomology restrictions.
Identified special equations defining fixed point subsets.
Enhanced understanding of cohomological structure of Bott-Samelson varieties.
Abstract
Let be a maximal torus of a semisimple complex algebraic group, be the Bott-Samelson variety for a sequence of simple reflections and be the set of -fixed points of . We prove the tensor product decompositions for the image of the restriction , where is defined by some special not overlapping equations with right-hand sides belonging to the Weyl group.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory
