Perverse schobers and wall crossing
| Autor: | Donovan, W. |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 |
| Databáze: | arXiv |
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