Timeline for Model structure on dg-algebras over an "equivariant fundamental category"?
Current License: CC BY-SA 4.0
5 events
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| Jul 21, 2022 at 19:47 | comment | added | Urs Schreiber | @MarkGrant thanks for commenting. Let me highlight that the transfer is not meant to be a Quillen equivalence. For $G = 1$ it's meant to give the $\pi_1(X)$-equivariant Borel model structure. For general $G$ it must be a mix between proper $G$-equivariance and $\pi^{H}_1(X)$-Borel equivariance, as $H \subset G$ varies. (Incidentally, I can see that the transfer model structure exists under the assumption that $G/H \mapsto \pi^{H}_1(X)$ is projectively cofibrant. Unfortunately, that's too strong a condition to be of much interest.) | |
| Jul 21, 2022 at 9:15 | comment | added | Mark Grant | It seems like it would be a good idea to pin down the details of the case $G=1$ first. Even there you dont expect to get a Quillen equivalence without some nilpotency condition on $\pi_1$. | |
| Jul 20, 2022 at 20:17 | history | edited | Urs Schreiber | CC BY-SA 4.0 |
adjusted links to nLab, which changed due to server migration efforts
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| Dec 30, 2021 at 18:15 | history | edited | Urs Schreiber | CC BY-SA 4.0 |
edited body
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| Dec 30, 2021 at 18:10 | history | asked | Urs Schreiber | CC BY-SA 4.0 |