Geometric realizations of the multiplihedra

S. Mau; C. Woodward

doi:10.1112/S0010437X0900462X

Geometric realizations of the multiplihedra

S. Mau, C. Woodward

SAS - Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We realize the 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.

Original language	English (US)
Pages (from-to)	1002-1028
Number of pages	27
Journal	Compositio Mathematica
Volume	146
Issue number	4
DOIs	https://doi.org/10.1112/S0010437X0900462X
State	Published - Jul 2010

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

associahedron
metric tree
moment polytope
multiplihedron
nodal disk

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abstract = "We realize the 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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AB - We realize the 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.

KW - associahedron

KW - metric tree

KW - moment polytope

KW - multiplihedron

KW - nodal disk

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JF - Compositio Mathematica

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ER -

Geometric realizations of the multiplihedra

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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