41 citations · 153 across the 15 of their papers we have counts for
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math.RT2018★ 11 cited
Categorified canonical bases and framed BPS states
Dylan G. L. Allegretti
We consider a cluster variety associated to a triangulated surface without punctures. The algebra of regular functions on this cluster variety possesses a canonical vector space ba…
math.CA2018★ 21 cited
Voros symbols as cluster coordinates
Dylan G. L. Allegretti
We show that the Borel sums of the Voros symbols considered in the theory of exact WKB analysis arise naturally as Fock-Goncharov coordinates of framed -local sy…
math.GT2018★ 36 cited
The monodromy of meromorphic projective structures
Dylan G. L. Allegretti, Tom Bridgeland
We study projective structures on a surface having poles of prescribed orders. We obtain a monodromy map from a complex manifold parameterising such structures to the stack of fram…