3 papers
math.AG2019
A family of structure isomorphisms for the Cohomological Hall Algebra of an acyclic quiver
Justin Allman
For any acyclic quiver, we establish a family of structure isomorphisms for its cohomological Hall algebra (CoHA). The family is parameterized by partitions of the quiver into Dynk…
math.RT2018
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
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…