Timeline for Fourier transform for perverse sheaves
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 19 at 20:43 | comment | added | James Steele | Wonderful! Thank you very much, I will look into this book. | |
| Jun 15 at 23:55 | comment | added | Sam Gunningham | I am not sure of a reference for the fact that the Fourier-Sato transform corresponds to the usual Fourier transform for algebraic D-modules. Note that the D-module transform does not preserve regularity (at $\infty$) so one should restrict to $\mathbb G_m$-monodromic objects to get a well-defined statement (this is also the generality in which the Fourier-Sato transform is defined). There is some discussion here: mathoverflow.net/questions/3139/… | |
| Jun 15 at 23:52 | comment | added | Sam Gunningham | In the setting of constructible sheaves in the analytic topology it is often called the Fourier-Sato transform. See Kashiwara-Schapira "Sheaves on Manifolds" section 3.7 for the general construction. Then I think it is shown somewhere in Chapter 10 that it preserves perverse sheaves (with appropriate shift?). | |
| Jun 15 at 21:41 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Jun 15 at 21:29 | history | asked | James Steele | CC BY-SA 4.0 |