Representations of Algebras and Related Topics

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Quadratic differentials as stability conditions (2013, background): “6 of [22] together imply that the heart exchange graph Exch△(D) is isomorphic to the cluster exchange graph.”
Maximal Green Sequences of Exceptional Finite Mutation Type Quivers (2014, methodology): “They were used in [9] to study the refined Donaldson–Thomas invariants and quantum dilogarithm identities.”
$\mathcal{N} = 2$ quantum field theories and their BPS quivers (2011, background): “29) is phase ordered, the operator M(q) has the desired expression in terms of a phase ordered product over the BPS states of quantum dilogarithm operators [13, 60, 61].”
Scattering diagrams, Hall algebras and stability conditions (2016, background): “1 Much of what we do here builds on earlier work of Reineke [19], Gross and Pandharipande [8], Kontsevich and Soibelman [15, 16], Nagao [18], Keller [13] and Gross, Hacking, Keel and Kontsevich [7].”