A new algorithm, pipe dream rectification, bijectively realizes the Cauchy identities for Grothendieck polynomials and leads to a pipe-dream version of dual RSK insertion.
Principal specializations of Schubert polynomials and pattern containment
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Cauchy identities for Grothendieck polynomials and a dual RSK correspondence through pipe dreams
A new algorithm, pipe dream rectification, bijectively realizes the Cauchy identities for Grothendieck polynomials and leads to a pipe-dream version of dual RSK insertion.