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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 17th 2009

    Jim Stasheff pointed out a reference that discusses categorifications of associahedra. I added the ref to associahedron

    • CommentRowNumber2.
    • CommentAuthorColin Tan
    • CommentTimeMay 9th 2014

    Urs, this link at associahedron to the reference by Forcey you mentioned is currently broken.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 9th 2014

    Colin, with broken links, Google is your friend. Here it gives us this:

    • Stefan Forcey, Quotients of the multiplihedron as categorified associahedra, Homology Homotopy Appl. Volume 10, Number 2 (2008), 227-256. (Euclid)
    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeMar 17th 2015

    I have added an abstract description of (barycentrically subdivided) associahedra, in terms of a bar construction, to the definition section of associahedron. This is actually a definition, which wasn’t really there before.

    • CommentRowNumber5.
    • CommentAuthorMike Shulman
    • CommentTimeMar 17th 2015

    Nice!

  1. I added a pointer/short description of Loday’s concrete realization of the associahedron as a convex hull of integer coordinates. I wonder how it relates to the construction Todd gave above?

    • CommentRowNumber7.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 25th 2015

    Good question. I believe Stefan Forcey has worked on bridging these sorts of abstract and concrete descriptions of polyhedra that arise in operadic combinatorics. You’re right that some effort to go into this should be entered at the nLab.

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