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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 28th 2014

    I have edited at HQFT, touched the general formatting and structuring a good bit, trying to clean it up and beautify it a bit, and added a brief cross-pointer to the cobordisms hypothesis for cobordisms with maps into a base manifold.

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeApr 28th 2014

    Are HQFTs taking place in some slice or context from the HoTT point of view?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 28th 2014

    I think the good abstract way to think about them is given by that version of the cobordism hypothesis which I was alluding to above: Bord n fr(X)Bord^{fr}_n(X) is essentially the free (,n)(\infty,n)-category with duals not on the point, but on the \infty-groupoid Π(X)\Pi(X).

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