Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778372 | Advances in Mathematics | 2017 | 56 Pages |
Abstract
In this article, we construct a non-commutative crepant resolution (=NCCR) of a minimal nilpotent orbit closure B(1)â¾ of type A, and study relations between an NCCR and crepant resolutions Y and Y+ of B(1)â¾. More precisely, we show that the NCCR is isomorphic to the path algebra of the double Beilinson quiver with certain relations and we reconstruct the crepant resolutions Y and Y+ of B(1)â¾ as moduli spaces of representations of the quiver. We also study the Kawamata-Namikawa's derived equivalence between crepant resolutions Y and Y+ of B(1)â¾ in terms of an NCCR. We also show that the P-twist on the derived category of Y corresponds to a certain operation of the NCCR, which we call multi-mutation, and that a multi-mutation is a composition of Iyama-Wemyss's mutations.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Wahei Hara,