Geometric realizations of the multiplihedra

S. Mau, C. Woodward

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageEnglish (US)
Pages (from-to)1002-1028
Number of pages27
JournalCompositio Mathematica
Issue number4
StatePublished - Jul 2010

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


  • associahedron
  • metric tree
  • moment polytope
  • multiplihedron
  • nodal disk

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