Timeline for Somewhat general question that includes: "Do quasi-isomorphic cdgas have quasi-isomorphic spaces of derivations?"
Current License: CC BY-SA 3.0
6 events
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Dec 3, 2011 at 8:00 | comment | added | Theo Johnson-Freyd | @Mariano: Would that it were. My understanding is that Hochschild cohomology is the better-behaved object. But in my application I specifically care about things that are more like the chain complex of derivations for a given dga --- I really would like all this strictness, for example. | |
Dec 1, 2011 at 23:43 | comment | added | Mariano Suárez-Álvarez | The derived statement should involve the first Hochschild cohomology group rather than just the derivations, probably, no? | |
Dec 1, 2011 at 23:17 | answer | added | Justin Noel | timeline score: 4 | |
Nov 28, 2011 at 14:51 | comment | added | Tom Goodwillie | You can speak of derivations $A\to X$, where $X$ is an $A$-module. The chain complex $Der(A,X)$ can be identified with $Hom(\Omega_A,X)$ where $\Omega_A$ is the module of differentials. This might be a useful way of thinking about these things. | |
Nov 28, 2011 at 14:25 | answer | added | Vitali Kapovitch | timeline score: 7 | |
Nov 28, 2011 at 6:42 | history | asked | Theo Johnson-Freyd | CC BY-SA 3.0 |