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arXiv · 1410.0904

Bridgeland stability conditions on the acyclic triangular quiver

George Dimitrov·Ludmil Katzarkov
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Abstract

Using results in a previous paper "Non-semistable exceptional objects in hereditary categories", we focus here on studying the topology of the space of Bridgeland stability conditions on $D^b(Rep_k(Q ))$, where $Q$ is the acyclic triangular quiver (the underlying graph is the extended Dynkin diagram $\widetilde{\mathbb A}_2$). In particular, we prove that this space is contractible (in the previous paper it was shown that it is connected).

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George Dimitrov, Ludmil Katzarkov. 2014-10-03. Bridgeland stability conditions on the acyclic triangular quiver. https://arxiv.org/abs/1410.0904

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