Timeline for determinant of cohomology of symplectic local systems
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 11 at 19:07 | history | edited | RobPratt | CC BY-SA 4.0 |
edited title
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| Nov 11 at 16:41 | comment | added | Alexander Braverman | I actually think that it is important that the form on E is skew-symmetric (but I might be wrong) | |
| Nov 11 at 15:22 | comment | added | Will Sawin | To trivialize the determinant of $E$. | |
| Nov 11 at 14:38 | comment | added | Alexander Braverman | Where exactly are you using the symplectic structure on E? | |
| Nov 11 at 14:06 | comment | added | Will Sawin | Take a cell decomposition of $X$ which gives a chain complex computing the cohomology of $E$. The alternating product of determinants of this chain complex is the same before and after you take cohomology, and is a power of $\det(E)$, so can be trivialized by the canonical trivialization of $\det(E)$. Maybe this one works? | |
| Nov 11 at 13:57 | history | edited | Alexander Braverman | CC BY-SA 4.0 |
added 2 characters in body
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| Nov 11 at 13:38 | history | asked | Alexander Braverman | CC BY-SA 4.0 |