Geodesic
Bijective proofs of Monk's rule for Schubert and double Schubert polynomials with bumpless pipe dreams
The electronic journal of combinatorics, Tome 30 (2023) no. 3
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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.
DOI : 10.37236/11824
Classification : 05E05, 05E14
Mots-clés : droop moves on bumpless pipe dreams, pseudocode 
@article{10_37236_11824,
     author = {Daoji Huang},
     title = {Bijective proofs of {Monk's} rule for {Schubert} and double {Schubert} polynomials with bumpless pipe dreams},
     journal = {The electronic journal of combinatorics},
     year = {2023},
     volume = {30},
     number = {3},
     doi = {10.37236/11824},
     zbl = {1519.05247},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/11824/}
}
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Daoji Huang. Bijective proofs of Monk's rule for Schubert and double Schubert polynomials with bumpless pipe dreams. The electronic journal of combinatorics, Tome 30 (2023) no. 3. doi: 10.37236/11824

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