3 papers
math.RA2025
Generalized cluster algebras are subquotients of cluster algebras
Rolando Ramos, David Whiting
Generalized Cluster Algebras (GCA) are generalizations of Cluster Algebras (CA) with higher-order exchange relations. Previously, Chekhov-Shapiro conjectured that every GCA can be…
math.CO2025
Boundary measurements of positive networks on a cylinder of maximal rank 2 and 3
David Whiting
Boundary measurement matrices associated to networks on a plane correspond to certain totally nonnegative Grassmannians as shown previously by A. Postnikov. In this paper, we look…
math.RT2020
Tilting modules arising from knot invariants
Ralf Schiffler, David Whiting
We construct tilting modules over Jacobian algebras arising from knots. To a two-bridge knot , we associate a quiver with potential and its Jacobian algebra…