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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 20th 2017
    • (edited Jul 20th 2017)

    I added to transchromatic character

    and

    • Takeshi Torii, HKR characters, p-divisible groups and the generalized Chern character, (pdf)
    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 21st 2017
    • (edited Jul 21st 2017)

    The most accessible account for me that I’ve found on why a transchromatic character is a generalisation of an ordinary character is in the first 7 pages of an undergraduate thesis, albeit one supervised by Lurie:

    • Arpon Raksit, Characters in global equivariant cohomology theory, pdf

    Probably not what we’d normally use. Anyway, I’ll copy over the idea there of group characters as the zero-th cohomology of Map(S 1,BG)Map(S^1,B G).

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 10th 2018

    added pointer to Raksit 15

    diff, v9, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 10th 2018

    oh, we overlapped, I was just adding this

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 10th 2018
    • (edited Oct 10th 2018)

    [ wrong thread ]

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 8th 2020

    added publication data to:

    diff, v11, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 3rd 2021

    I have cross-linked with Huan’s inertia orbifold.

    It’s at the bottom of p. 2 of arXiv:1304.5194 that Stapleton almost writes down Huan’s inertia model. The place where this thought is picked up seems to be Remark 4.9 on p. 20. I still need to digest Stapleton’s notation more fully, but what that remark indicates is probably the co-free 2-action that I worked out here.

    diff, v14, current