Pivot polytopes of products of simplices and shuffles of associahedra
Vincent Pilaud, Germain Poullot
TL;DR
This paper establishes a piecewise linear isomorphism between the normal fan of the pivot polytope of a product of simplices and the normal fan of a shuffle of associahedra, linking two complex geometric structures.
Contribution
It introduces a novel isomorphism connecting pivot polytopes of products of simplices with shuffles of associahedra, expanding understanding of their geometric relationships.
Findings
Established a piecewise linear isomorphism between the two fans.
Connected the combinatorial structures of pivot polytopes and shuffles of associahedra.
Enhanced the geometric understanding of these polytopal complexes.
Abstract
We provide a piecewise linear isomorphism from the normal fan of the pivot polytope of a product of simplices to the normal fan of a shuffle of associahedra.
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Taxonomy
Topicsgraph theory and CDMA systems · Advanced Combinatorial Mathematics · Graph theory and applications