Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10144937 | Advances in Mathematics | 2018 | 34 Pages |
Abstract
We describe the relationship between two spaces associated to a quiver with potential. The first is a complex manifold parametrizing Bridgeland stability conditions on a triangulated category, and the second is a cluster variety with a natural Poisson structure. For quivers of type A, we construct a local biholomorphism from the space of stability conditions to the cluster variety. The existence of this map follows from results of Sibuya in the classical theory of ordinary differential equations.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Dylan G.L. Allegretti,