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Paper detail

Stability conditions, cluster varieties, and Riemann-Hilbert problems from surfaces

We consider two interesting spaces associated to a quiver with potential: a space of stability conditions and a cluster variety. In the case where the quiver with potential arises from an ideal triangulation of a marked bordered surface, we construct a natural map from a dense subset of the space of stability conditions to the cluster variety. Using this construction, we give solutions to a family of Riemann-Hilbert problems arising in Donaldson-Thomas theory.

preprint2021arXivOpen access
Dylan G. L. Allegretti
math.GTmath.AGhep-th
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Dylan G. L. Allegretti

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