Séminaire Lotharingien de Combinatoire, 85B.17 (2021), 12 pp.
Daoji Huang
Bijective Proofs of Monk's rule
for Schubert and Double Schubert Polynomials
with Bumpless Pipe Dreams
Abstract.
We give bijective proofs of Monk's rule for
Schubert and double Schubert polynomials computed
with bumpless pipe dreams. In particular,
they specialize to bijective proofs of
transition and cotransition
formulas of Schubert and double Schubert
polynomials, which can be used to establish
bijections with ordinary pipe dreams.
Received: December 1, 2020.
Accepted: March 1, 2021.
Final version: April 29, 2021.
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