Hopf structures on the multiplihedra

Mathematics – Combinatorics

Scientific paper

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24 pages, 112 .eps files

Scientific paper

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 two distinct
structures of a Hopf module over the Loday-Ronco Hopf algebra.

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