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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 $Map(S^1,B G)$.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeOct 10th 2018

added pointer to Raksit 15

• 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:

• 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.

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