论文标题
舒伯特和舒伯特多项式的僧侣统治的徒证明了宽松的烟斗梦想
Bijective Proofs of Monk's rule for Schubert and Double Schubert Polynomials with Bumpless Pipe Dreams
论文作者
论文摘要
我们为舒伯特（Schubert）的僧侣规则和双重舒伯特（Double Schubert）多项式提供了公约的证据，该句子是用宽松的烟斗梦中计算出的。特别是，他们专门研究舒伯特和双舒伯特多项式的过渡和共横向公式的射合证明，这些公式可用于建立具有普通的烟斗梦想的射击。
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.
