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Bridgeland stability conditions on the acyclic triangular quiver

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arxiv 1410.0904 v1 pith:GZUTBQYN submitted 2014-10-03 math.CT math.AGmath.RT

George Dimitrov , Ludmil Katzarkov This is my paper · ORCID
classification math.CTmath.AGmath.RT
keywords acyclicbridgelandconditionspreviousquiverspacestabilitytriangular
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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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  1. Contractibility and total semi-stability conditions of Euclidean quivers

    math.RT 2025-01 conditional novelty 6.0 of 10

    The moduli space of total semi-stability conditions on Euclidean quivers is described by partition data and contracts linearly to any non-concentrated stability condition.

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