English

Hopf structures on the multiplihedra

Combinatorics 2009-11-12 v1 Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.0911.2057,
  title  = {Hopf structures on the multiplihedra},
  author = {Stefan Forcey and Aaron Lauve and Frank Sottile},
  journal= {arXiv preprint arXiv:0911.2057},
  year   = {2009}
}

Comments

24 pages, 112 .eps files

R2 v1 2026-06-21T14:10:03.763Z