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Bumpless pipe dream RSK, growth diagrams, and Schubert structure constants (2206.14351v1)

Published 29 Jun 2022 in math.CO

Abstract: We introduce analogs of left and right RSK insertion for Schubert calculus of complete flag varieties. The objects being inserted are certain biwords, the insertion objects are bumpless pipe dreams, and the recording objects are decorated chains in Bruhat order. As an application, we adopt Lenart's growth diagrams of permutations to give a combinatorial rule for Schubert structure constants in the separated descent case.

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