Timeline for Constructible derived category and fundamental category
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| May 28, 2013 at 8:36 | comment | added | Jan Weidner | Yes, this is actually one of the proofs I had in mind, when I wrote I never intuitively understood the description. I find constructible sheaves = reps of the fundamental category very convincing. On the other hand Beilinson's glueing is quite intransparent to me. | |
| May 27, 2013 at 16:41 | comment | added | Ryan Reich | Note, regarding perverse sheaves, that you can get such a description using Beilinson's nearby cycles gluing ("How to glue perverse sheaves"). He gives almost exactly this computation at the end of that paper, but for a punctured analytic disk rather than a punctured projective line. The answer is: representations of the quiver with two points and two arrows $u$ and $v$, such that $1 - uv$ and $1 - vu$ are invertible. Obviously that's not the approach you requested, though. | |
| May 27, 2013 at 9:18 | history | asked | Jan Weidner | CC BY-SA 3.0 |