LAUSR

A filtration on the cohomology rings of regular nilpotent Hessenberg varieties

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0 Published in 2020 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-020-02646-x

Abstract: Let $n$ be a positive integer. The main result of this manuscript is a construction of a filtration on the cohomology ring of a regular nilpotent Hessenberg variety in $GL(n,{\mathbb{C}})/B$ such that its associated graded… read more here.

Keywords: regular nilpotent; nilpotent hessenberg; hessenberg varieties; cohomology rings ... See more keywords

Classical sheaf cohomology rings on Grassmannians

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0 Published in 2017 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2017.04.026

Abstract: Abstract Let the vector bundle E be a deformation of the tangent bundle over the Grassmannian G ( k , n ) . We compute the ring structure of sheaf cohomology valued in exterior powers… read more here.

Keywords: sheaf cohomology; classical sheaf; cohomology; rings grassmannians ... See more keywords

Cohomology rings of the real and oriented partial flag manifolds

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2 Published in 2020 at "Topology and its Applications"

DOI: 10.1016/j.topol.2020.107239

Abstract: Abstract We show, in contrast to the cases of complex and quaternionic partial flag manifolds, the rational cohomology rings of the real and oriented partial flag manifolds are generated not only by the characteristic classes… read more here.

Keywords: real oriented; rings real; partial flag; flag manifolds ... See more keywords