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arXiv · 2108.11438

The Canonical Bijection Between Pipe Dreams and Bumpless Pipe Dreams

Yibo Gao·Daoji Huang
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Abstract

We present a direct bijection between reduced pipe dreams and reduced bumpless pipe dreams by interpreting reduced compatible sequences on bumpless pipe dreams and show that this bijection preserves Monk's formula, establishing its canonical nature.

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Yibo Gao, Daoji Huang. 2021-08-25. The Canonical Bijection Between Pipe Dreams and Bumpless Pipe Dreams. https://doi.org/10.1093/imrn%2Frnad083

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