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…
Grothendieck classes of quiver cycles as iterated residues
Justin Allman
In the case of Dynkin quivers we establish a formula for the Grothendieck class of a quiver cycle as the iterated residue of a certain rational function, for which we provide an ex…
A quantum analogue of the dihedral action on Grassmannians
Justin M. Allman, Jan E. Grabowski
In recent work, Launois and Lenagan have shown how to construct a cocycle twisting of the quantum Grassmannian and an isomorphism of the twisted and untwisted algebras that sends a…