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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 20th 2010

    I am (slowly) working on bringing the entry differential cohomology in better shape.

    For the moment I am adding a section on the Hopkins-Singer formulation.

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeApr 21st 2010

    I see Ulrich's influence :) Don't forget to learn something about eta invariants and determinant line bundles (in the business of zeta function renormalization and quantum anomalies), he has a number of papers on them (I do not know what was his motivation).

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2010

    That’s a good suggestion, Zoran, but I am afraid there is no time for that. But I’ll see.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2010
    • (edited Apr 21st 2010)

    I added a (very brief so far) Properties-section on the Hopkins-Singer definition.

    Then I wrote on my personal web in the section General differential cohomology the outline of an argument that is supposed to show that

    • for 𝒜\mathcal{A} a topological space

    • and A=LConstSing𝒜A = LConst Sing \mathcal{A} its incarnation as a constant oo-stack in H=Sh (CartSp)\mathbf{H} = Sh_{\infty}(CartSp),

    the Hopkins-Singer differential cohomology with coefficients in 𝒜\mathcal{A} coincides with the differential cohomology with coefficients in AA in the (oo,1)-topos H\mathbf{H}, as defined there.

    Needs more attention, but I have to run now to get some breakfast…

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 25th 2014

    I am finally getting to brushing-up the entry on differential cohomology (which has been – of all entries! – woefully neglected).

    For the moment I have polished and considerably expanded the Idea section and brushed-up and commented the list of references.

    In particular I am splitting off an entry differential cohomology hexagon.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2018

    added pointer to survey talk slides by Daniel Grady, here

    diff, v48, current

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