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The quasisymmetric flag variety: a toric complex on noncrossing partitions

Published 16 Aug 2025 in math.AG | (2508.12171v1)

Abstract: We develop the geometric theory of equivariant quasisymmetry via a new ``quasisymmetric flag variety''. This is a toric complex in the flag variety whose fixed point set is the set of noncrossing partitions, and whose cohomology ring is the ring of quasisymmetric coinvariants.

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