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The geometry of quasisymmetric coinvariants

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arxiv 2410.12643 v2 pith:M56BBQPN submitted 2024-10-16 math.AG math.CO

classification math.AGmath.CO
keywords quasisymmetricanaloguecoinvariantsschubertbuildingconstructionscyclesdevelop
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Springer Geometry of Specht Polynomials and Schubert cycle positivity for two row Springer fiber components

    math.AG 2026-07 conditional novelty 8.0 of 10

    Two-row Springer fiber components have positive Schubert cycle expansions counted by reduced words compatible with noncrossing matchings.

  2. Richardson tableaux and Schubert positivity

    math.CO 2025-10 conditional novelty 7.0 of 10

    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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