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May 10, 2016 at 17:27 answer added John Rognes timeline score: 5
May 10, 2016 at 15:29 vote accept John Klein
May 10, 2016 at 15:20 comment added Gregory Arone Ching does use the connection with metric trees in his thesis, but not for the purpose of describing the extra action. By the way, here is a natural followup question: do the derivatives of the identity have a structure of a cyclic operad in spectra? If yes, it would combine both the extra symmetries and Ching's operad structure. And a further followup question: if such a cyclic operad structure exists, then what is the calculus meaning of it?
May 10, 2016 at 15:14 comment added Juan Villeta-Garcia Ooops, sorry about the false start.
May 10, 2016 at 14:58 answer added Gregory Arone timeline score: 13
May 10, 2016 at 14:37 comment added John Klein @JuanVilleta-Garcia I checked the published version of Ching's thesis. I could not find it there.
May 10, 2016 at 14:10 comment added Juan Villeta-Garcia This seems like it might be contained in M. Ching's thesis. There the description of the operadic structure on the Taylor tower of the identity is described by means of (duals to) spaces of metric trees. At least, if I recall correctly (I'm out of the office, so can't check my copy).
May 10, 2016 at 13:42 history edited John Klein CC BY-SA 3.0
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May 10, 2016 at 13:37 history asked John Klein CC BY-SA 3.0