Hopf Structures on the Multiplihedra

By Stefan Forcey, Aaron Lauve, and Frank Sottile.
    We investigate algebraic structures that can be placed on vertices of the multiplihedra, a family of polytopes originating in the study of higher categories and homotopy theory. Most compelling among these are the structures of a Hopf algebra and of a Hopf module over the Loday Ronco Hopf algebra.
The manuscript in pdf.
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Last modified: Mon Nov 9 09:15:30 CST 2009