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    • CommentRowNumber1.
    • CommentAuthorjim_stasheff
    • CommentTimeJul 18th 2013
    Consider an analog of a Lie algebroid except that instead of the relevant sections forming a Lie algebra, they form only an $L_\infty$-algebra. The obvious terminology would be $L_\infty$-algebroid. Has this been established? reference?
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 19th 2013
    • CommentRowNumber3.
    • CommentAuthorjim_stasheff
    • CommentTimeJul 19th 2013
    Thanks, especially for
    We call this the category of L∞-algebroids.
    as opposed to the 2 other posible locations for $\infty$
    in that same piece! Of course, I think where you take the dual is unnecessarily restrictive.