Timeline for Vanishing of homology for hyperelliptic locus
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 27, 2017 at 8:59 | vote | accept | joey112 | ||
| Dec 26, 2017 at 21:03 | comment | added | Dan Petersen | Also, I shouldn't have said "circle" in the comment three days ago, but "2-sphere". | |
| Dec 26, 2017 at 21:01 | comment | added | Dan Petersen | The fibration exists, and it is a fiber bundle in the sense of orbifolds. But the fundamental group of the base acts nontrivially on the cohomology of the fiber, so you need to work with twisted coefficients, which kills your suggested argument (the vanishing results for $n=0,1$ are only for constant coefficients). | |
| Dec 26, 2017 at 20:56 | answer | added | Dan Petersen | timeline score: 3 | |
| Dec 23, 2017 at 11:54 | comment | added | Dan Petersen | The space $H_g$ has the rational cohomology of a point. And $H_{g,1}$ has the rational cohomology of a circle. I can supply an argument later. | |
| Dec 23, 2017 at 10:15 | review | First posts | |||
| Dec 23, 2017 at 10:16 | |||||
| Dec 23, 2017 at 10:14 | history | asked | joey112 | CC BY-SA 3.0 |