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arXiv 0802.2120math.GTmath.AT
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多面体及其复化的几何实现

Geometric realizations of the multiplihedron and its complexification

S. Mau, C. Woodward

摘要:

我们实现Stasheff的多重面几何稳定绗缝磁盘的模空间。这推广的几何实现的associahedron的模空间的稳定磁盘。我们证明了这个模空间是稳定标度曲线的复模空间的非负实部。

英文摘要:

We realize Stasheff's multiplihedron geometrically as the moduli space of stable quilted disks. This generalizes the geometric realization of the associahedron as the moduli space of stable disks. We show that this moduli space is the non-negative real part of a complex moduli space of stable scaled marked curves.

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