Timeline for Topological Hochschild cohomology?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 1, 2013 at 8:43 | vote | accept | nikitamarkarian | ||
| Sep 24, 2013 at 10:35 | answer | added | Geoffroy Horel | timeline score: 11 | |
| Sep 19, 2013 at 19:06 | comment | added | nikitamarkarian | @MartinBrandenburg Thank you,Martin! I've seen this paper, but did not find answers on my questions there. | |
| Sep 19, 2013 at 19:03 | comment | added | nikitamarkarian | @PeterMay Dear Peter, thank you for the comment and the reference! I thought that $THH_R$ is the object dual to $THH^R$... But anyway, let me repeat the question. Does Hochschild cohomology have any geometric meaning (say, Hochschild homology is connected with K-theory, what about cohomology)? Is there some structure on it that corresponds to the Gerstenhaber bracket on usual Hochschild cohomology? | |
| Sep 19, 2013 at 18:26 | comment | added | Sean Tilson | Aren't $A \wedge A$ and $A \otimes S^n$ are fairly different? Is it clear that $A$ is a module over $A \otimes S^n$? have you looked at any papers about iterated THH?? | |
| Sep 19, 2013 at 18:11 | comment | added | Peter May | I'm confused by the question. The relevant chapter of EKMM is entitled ``Topological Hochschild homology and cohomology'' and the definition in terms of function spectra is part of Defn IX.1.1, p 168. It is true that we focused most on homology, but it was meant to be entirely clear that there is a parallel development of cohomological spectral sequences | |
| Sep 19, 2013 at 12:40 | comment | added | Martin Brandenburg | A definition of topological Hochschild cohomology can be found, for example, in this paper by V. Angeltveit math.uchicago.edu/~vigleik/THHAinfty.pdf (Definition 2.1). | |
| Sep 19, 2013 at 12:30 | history | asked | nikitamarkarian | CC BY-SA 3.0 |