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nLab > Latest Changes: equivariant ordinary differential cohomology

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 20th 2020
    • (edited Jul 20th 2020)

    starting a stub, for the moment just to record references.

    There is a plethora of constructions in the literature. Has anyone discussed in detail if/how these relate to the evident general abstract definition (maps of ∞\infty-stacks from the given geometric groupoid to the Deligne complex)?

    I see that some authors, like Redden, partially go in this direction, but I haven’t seen yet a comprehensive account to this extent.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020

    added pointer to today’s

    • Joe Davighi, Ben Gripaios, Oscar Randal-Williams, Differential cohomology and topological actions in physics (arXiv:2011.05768)

    diff, v5, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020

    added pointer to today’s

    • Joe Davighi, Ben Gripaios, Oscar Randal-Williams, Differential cohomology and topological actions in physics (arXiv:2011.05768)

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 12th 2020

    Is there anything in this that we couldn’t have picked up from your work?

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 12th 2020

    Attempted to clarify the relationship between the definitions of Kübel-Thom and Redden vs. Gomi in the references.

    diff, v8, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020

    The last paragraph of the Idea section is also meant to deal with this.

    I seem to remember that Gomi’s definition is fine for finite groups?

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 12th 2020

    Yes, Gomi’s definition only works for finite groups. (So, basically, orbifolds.)

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2020

    Thanks, so that agrees with what is says in the main text. I have added the qualification about finite groups to Gomi’s reference item.

    diff, v9, current

1 to 8 of 8

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