The space of stability conditions for A3-quiver
Abstract
The author studied in shi the covering map property of the local homeomorphism associating to the space of stability conditions over the n-Kronecker quiver. In this paper, we discuss the covering map property for stability conditions over the Dynkin quiver of type A3. The local homeomorphism from a connected component of stability conditions over A3 to 3-dimensional complex vector space becomes a covering map when we restrict it to the complement of six codimension one subspaces.
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