Timeline for spectral sequence for a complex with two filtrations
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 25, 2018 at 0:08 | comment | added | John Rognes | I dealt with a case of short exact sequences of spectral sequences in section 5 of folk.uio.no/rognes/papers/highfix.pdf (JPAA, 1999). A SES of E^r-terms leads to a LES of E^{r+1}-terms, but in my case this split into a SES of E^{r+1}-terms, and I could continue. | |
| Feb 24, 2018 at 15:11 | comment | added | Dylan Wilson | Maybe check out Deligne’s papers on mixed Hodges structures where he thinks about this, and Miller’s paper “on relations between Adams spectral sequences” where he gets at a differential this way. But yes, in general the relationship is not well understood computationally | |
| Feb 24, 2018 at 12:12 | comment | added | Neil Strickland | I don't know a good answer for this, but similar issues arise with respect to the Localized Parametrized Adams Spectral Sequence which arises in work on the Telescope Conjecture. I know that Ravenel spent a long time looking for a good abstract framework to encapsulate these issues, and never came up with something that he found satisfactory. So the problem may be hard, but a good answer might be important. | |
| Feb 24, 2018 at 4:01 | history | asked | Just Me | CC BY-SA 3.0 |