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arXiv 2109.09200math.CO
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图关联体和巢状体的形变锥

Deformation cones of graph associahedra and nestohedra

Arnau Padrol, Vincent Pilaud, Germain Poullot

AI总结:

本文给出了图关联体和巢状体形变锥的刻面描述,推广了次模函数锥参数化,并构造了推广运动学关联体的运动学巢状体。

摘要:

我们给出了图关联体和巢状体的形变锥的刻面描述,推广了由次模函数锥对变形置换体族的经典参数化。当底层构建集由区间构成时,这尤其导致了运动学巢状体的构造,推广了最近出现在散射振幅理论中的运动学关联体。

英文摘要:

We give the facet description of the deformation cones of graph associahedra and nestohedra, generalizing the classical parametrization of the family of deformed permutahedra by the cone of submodular functions. When the underlying building set is made of intervals, this leads in particular to the construction of kinematic nestohedra generalizing the kinematic associahedra that recently appeared in the theory of scattering amplitudes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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