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math.RT2018★ 1 cited
Quantum dilogarithm identities for n-cycle quivers
Justin Allman
We prove quantum dilogarithm identities for -cycle quivers. By the combinatorial approach of Keller, each side of our identity determines a maximal green sequence of quiver muta…
math.RT2018★ 1 cited
Interpolating factorizations for acyclic Donaldson--Thomas invariants
Justin Allman
We prove a family of factorization formulas for the combinatorial Donaldson--Thomas invariant for an acyclic quiver. A quantum dilogarithm identity due to Reineke, later interprete…