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The geometry of quasisymmetric coinvariants
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We develop a quasisymmetric analogue of the theory of Schubert cycles, building off of our previous work on a quasisymmetric analogue of Schubert polynomials and divided differences. Our constructions result in a natural geometric interpretation for the ring of quasisymmetric coinvariants.
Forward citations
Cited by 2 Pith papers
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The Springer Geometry of Specht Polynomials and Schubert cycle positivity for two row Springer fiber components
Two-row Springer fiber components have positive Schubert cycle expansions counted by reduced words compatible with noncrossing matchings.
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Richardson tableaux and Schubert positivity
The Schubert cycle expansion of a Springer fiber component equal to a Richardson variety, indexed by a Richardson tableau, is computed combinatorially using translation-equivalent Bruhat intervals and Sottile's Pieri rule.
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