论文标题

四个模型之间的等效性

Equivalence Between Four Models of Associahedra

论文作者

Basu, Somnath, Samanta, Sandip

论文摘要

我们提出了Stasheff Associahedra与Loday给出的这些复合物的感应锥构建之间的组合异构象。我们对某些多型的替代描述,称为多层,这是在研究$ a_ \ infty $地图的研究中。我们还证明了Stasheff Associahedra之间的组合同构,折叠了多皮希德拉(Multiphedra)和图形Cubeahedra的路径图。

We present a combinatorial isomorphism between Stasheff associahedra and an inductive cone construction of those complexes given by Loday. We give an alternate description of certain polytopes, known as multiplihedra, which arise in the study of $A_\infty$ maps. We also prove a combinatorial isomorphism between Stasheff associahedra, collapsed multiplihedra and graph cubeahedra for path graphs.

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