Timeline for Three examples of $S^1$-actions on derived loop spaces
Current License: CC BY-SA 3.0
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| Oct 25, 2016 at 6:18 | comment | added | math no more | I found an answer to the first two questions in a paper "Cyclic homology and equivariant homology" by John D.S. Jones -- when taking the loop space of a scheme $X$, we formally get a cocyclic set on functor of points which have a (less-known) geometric realization functor. For $BG$ it's the usual cyclic set on functor of points as described for in Loday's book. | |
| Oct 25, 2016 at 6:13 | history | undeleted | math no more | ||
| Sep 9, 2016 at 23:04 | history | deleted | math no more | via Vote | |
| Sep 8, 2016 at 1:37 | history | edited | math no more | CC BY-SA 3.0 |
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| Sep 8, 2016 at 1:24 | history | undeleted | math no more | ||
| Aug 30, 2016 at 7:25 | history | deleted | math no more | via Vote | |
| Aug 30, 2016 at 1:48 | comment | added | Marc Hoyois | I wrote a note proving that Connes' mixed complex (with the $B$-operator) is quasi-isomorphic to the mixed complex induced by the $S^1$-action (Theorem 2.4). That may answer parts of your first question, though it's a general fact about cyclic modules which has nothing to do with DAG. | |
| Aug 29, 2016 at 23:09 | history | asked | math no more | CC BY-SA 3.0 |