English

Puzzle Model for Bumpless Pipe Dream

Combinatorics 2020-12-22 v1 Algebraic Geometry

Abstract

In this note, a new puzzle is introduced where the pipe dream and bumpless pipe dream can be played simultaneously. Using these, a combinatorial proof of the (ordinary) Schubert polynomials in terms of bumpless pipe dream is given. The main tool is the Yang--Baxter equation.

Cite

@article{arxiv.2012.10909,
  title  = {Puzzle Model for Bumpless Pipe Dream},
  author = {Rui Xiong},
  journal= {arXiv preprint arXiv:2012.10909},
  year   = {2020}
}

Comments

10 pages, 40 figures

R2 v1 2026-06-23T21:06:28.493Z