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math.GT2008★ 16 cited
Geometric realizations of the multiplihedron and its complexification
S. Mau, C. Woodward
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…
math.GT2004★ 10 cited
Spherical Tetrahedra and Invariants of 3-manifolds
Yuka U. Taylor, Christopher T. Woodward
Motivated by the Turaev-Viro invariant of 3-manifolds, we construct a formal topological invariant of closed, oriented 3-manifolds involving spherical tetrahedra as an application…