arXiv:0802.2120 Abstract | arXiv Analytics

arXiv:0802.2120 [math.GT]Abstract References Reviews Resources

Geometric realizations of the multiplihedron and its complexification

Published 2008-02-15, updated 2009-03-25Version 4

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.

Comments: v4. 27 pages, 19 figures. Incorporated referee comments

Categories: math.GT, math.AT

Subjects: 52C35, 14H10

Keywords: geometric realization, complexification, complex moduli space, non-negative real part, realize stasheffs multiplihedron

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