The quasisymmetric Grassmannian is a positroid variety complex inside the Grassmannian defined via the quasisymmetric Johnson graph, with an affine paving and cohomology ring using fundamental quasisymmetric polynomials in place of Schur polynomials.
arXiv preprint arXiv:2508.12171 , year=
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A Littlewood-Richardson rule counts pairs of forest RC graphs whose lift product matches a target forest-code and weight c, and the same rule applies to dual bases via a new Schubert bialgebra.
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The Quasisymmetric Grassmannian
The quasisymmetric Grassmannian is a positroid variety complex inside the Grassmannian defined via the quasisymmetric Johnson graph, with an affine paving and cohomology ring using fundamental quasisymmetric polynomials in place of Schur polynomials.
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A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra
A Littlewood-Richardson rule counts pairs of forest RC graphs whose lift product matches a target forest-code and weight c, and the same rule applies to dual bases via a new Schubert bialgebra.