2 citations · 4 across the 5 of their papers we have counts for
5 papers
A Wilson Line Realisation of Quantum Groups
Nanna Aamand, Dani Kaufman
The study of this paper is Wilson line operators in 3-dimensional Chern-Simons theory on a manifold with boundaries. We prove to leading order through a direct calculation of Feynm…
Special Folding of Quivers and Cluster Algebras
Dani Kaufman
We give a precise definition of folded quivers and folded cluster algebras. We give many examples of including some with finite mutation structure that do not have analogues in the…
Hopf algebras of multiple polylogarithms, and holomorphic 1-forms
Zachary Greenberg, Dani Kaufman, Haoran Li +1
We associate to a multiple polylogarithm a holomorphic 1-form on the universal abelian cover of its domain. We relate the 1-forms to the symbol and variation matrix and show that t…
The Lie coalgebra of multiple polylogarithms
Zachary Greenberg, Dani Kaufman, Haoran Li +1
We use Goncharov's coproduct of multiple polylogarithms to define a Lie coalgebra over an arbitrary field. It is generated by symbols subject to inductively defined relations, whic…
Cluster Modular Groups of Affine and Doubly Extended Cluster Algebras
Dani Kaufman, Zachary Greenberg
We calculate the cluster modular groups of affine and doubly extended typecluster algebras in a uniform way by introducing a new family of quivers. We use this uniformdescription t…