8 citations · 17 across the 7 of their papers we have counts for
8 papers
Stabilization of codimension of persistence barcodes
Justin Allman, Anran Huang
Given a pointwise finite-dimensional persistence module over a totally ordered set , a theorem of Crawley-Boevey guarantees the existence of a barcode. When the set is finit…
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…
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…
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…
Quantum dilogarithm identities for the square product of A-type Dynkin quivers
Justin Allman, Richárd Rimányi
The famous pentagon identity for quantum dilogarithms has a generalization for every Dynkin quiver, due to Reineke. A more advanced generalization is associated with a pair of alte…
An iterated residue perspective on stable Grothendieck polynomials
J. Allman, R. Rimanyi
Grothendieck polynomials are important objects in the study of the -theory of flag varieties. Their many remarkable properties have been studied in the context of algebraic geom…