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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 25th 2019

    starting something on weight systems (in the sense of knot theory), not done yet

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 25th 2019
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 27th 2019

    added a pointer to Lie algebra weight systems:


    A large class of weight systems arises from reading a (horizontal) chord diagram as a string diagram in the evident way, and then labelling it by the structure morphisms of a Lie algebra object equipped with a Lie algebra representation internal to a suitable tensor category. This does yield weight systems because the required relations translate exactly to the structural equations satisfied by Lie modules (Jacobi identity and Lie action property).

    The weight systems arising this way are called Lie algebra weight systems. See there for more

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 8th 2019

    added pointer to

    diff, v12, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeDec 28th 2019
    • (edited Dec 28th 2019)

    re-organized subsections: split off “Constructions of weight systems” from “Properties”; added stub section on stringy weight systems

    diff, v15, current

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