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nLab > Latest Changes: twisted equivariant Chern character

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 18th 2021

    a bare minimum, for the moment just to have a place for recording references

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 19th 2021

    Question:

    Taken at face value, the codomain of the twisted equivaraint Chern character according to Mathai & Stevenson 2003 looks different from that of (all ?) other authors:

    • The former take it to be the Weil-model equivariant de Rham complex twisted by a closed degree-3 element in the evident way,

    • the other authors consider flat-line bundle-twisted de Rham cohomology on the inertia orbifold further twisted by the 3-form.

    Probably these two codomains are quasi-isomorphic? But it doesn’t seem to be obvious. Is this discussed anywhere?

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