تقرير
Perverse schobers and wall crossing
| العنوان: | Perverse schobers and wall crossing |
|---|---|
| المؤلفون: | Donovan, W. |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Representation Theory, Primary 14F05, Secondary 14E05, 14L24, 18E30, 32S60 |
| الوصف: | For a balanced wall crossing in geometric invariant theory, there exist derived equivalences between the corresponding GIT quotients if certain numerical conditions are satisfied. Given such a wall crossing, I construct a perverse sheaf of categories on a disk, singular at a point, with half-monodromies recovering these equivalences, and with behaviour at the singular point controlled by a GIT quotient stack associated to the wall. Taking complexified Grothendieck groups gives a perverse sheaf of vector spaces: I characterise when this is an intersection cohomology complex of a local system on the punctured disk. Comment: Revised introduction. 27 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1703.00592 |
| رقم الأكسشن: | edsarx.1703.00592 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |