Geometric realizations of the multiplihedron and its complexification
Geometric Topology
2009-03-26 v4 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0802.2120,
title = {Geometric realizations of the multiplihedron and its complexification},
author = {S. Mau and C. Woodward},
journal= {arXiv preprint arXiv:0802.2120},
year = {2009}
}
Comments
v4. 27 pages, 19 figures. Incorporated referee comments