Timeline for Topological Hochschild cohomology?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jan 13, 2015 at 7:18 | comment | added | Geoffroy Horel | @GabrielAngelini-Knoll This is a non-trivial fact that is called the higher Deligne conjecture. Roughly the idea is that $THC(A)$ has an $E_n$-structure coming from the multiplication on $A$ and an $E_1$-structure coming from the fact that it is given as the endomorphisms of something. These two structure commute with one another inducing an $E_{n+1}$-structure by Dunn's additivity theorem. | |
| Jan 13, 2015 at 4:11 | comment | added | Gabriel Angelini-Knoll | Can you explain why what you call THC takes $E_n$ ring spectra to $E_{n+1}$ ring spectra? In Brun, Fiedorowicz, Vogt arxiv.org/abs/math/0410367, they show THH takes $E_n$ ring spectra to $E_{n-1}$ ring spectra. Can you see the difference in the function spectra construction somehow? | |
| Oct 1, 2013 at 8:43 | vote | accept | nikitamarkarian | ||
| Oct 1, 2013 at 8:36 | comment | added | nikitamarkarian | Thank you very much for the answer, especially for the edit about KU! What about MU? | |
| Sep 27, 2013 at 15:25 | history | edited | Geoffroy Horel | CC BY-SA 3.0 |
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| Sep 27, 2013 at 14:58 | history | edited | Geoffroy Horel | CC BY-SA 3.0 |
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| Sep 24, 2013 at 10:35 | history | answered | Geoffroy Horel | CC BY-SA 3.0 |