Bijective Proofs of Monk's rule for Schubert and Double Schubert Polynomials with Bumpless Pipe Dreams

2020/10/28 by Huang, Daoji · 3 citations
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.15048

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.

Cited by

• The Grothendieck Group of the Variety of Spanning Line Configurations
• A positive combinatorial formula for the double Edelman--Greene coefficients
• Hybrid pipe dreams for the lower-upper scheme

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