Timeline for How "commutative" are Cech cochains of a sheaf of commutative (dg) algebras?
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| Jan 26, 2018 at 20:57 | comment | added | algebrachallenged | @DenisNardin Thanks for your comment. That does sound like an interesting perspective. I'll have to study your link to understand in what sense Cech cochains give rise to homotopy limits. | |
| Jan 26, 2018 at 20:28 | comment | added | Denis Nardin | Also, if you need a reference to understand what the heck homotopy limits have to do with Čech cochains, let me just drop this here... | |
| Jan 26, 2018 at 19:49 | comment | added | Denis Nardin | It does define an E_∞-algebras (because it's a homotopy limit of cdgas, in particular of E_∞-algebras). I don't know of a "gentle" introduction, but the fact that the forgetful functor from E_∞-algebras detects limits is, for example, Higher Algebra, Corollary 3.2.2.5 (in the case where O is the commutative operad). There must be more elementary presentations somewhere. | |
| Jan 26, 2018 at 19:36 | history | asked | algebrachallenged | CC BY-SA 3.0 |