Yibo Gao, Daoji Huang
Abstract
Abstract We present a direct bijection between reduced pipe dreams and reduced bumpless pipe dreams (BPDs) by interpreting reduced compatible sequences on BPDs and show that this is the unique bijection preserving bijective realizations of Monk’s formula, establishing its canonical nature.
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Abstract We present a direct bijection between reduced pipe dreams and reduced bumpless pipe dreams (BPDs) by interpreting reduced compatible sequences on BPDs and show that this is the unique bijection preserving bijective realizations of Monk’s formula, establishing its canonical nature.
Key concepts: Bijection, Mathematics, Non canonical, Pure mathematics, Combinatorics, Biology, Cell biology