163 citations · 922 across the 75 of their papers we have counts for
13 papers · 1 filter
Braid variety cluster structures, II: general type
Pavel Galashin, Thomas Lam, Melissa Sherman-Bennett
We show that braid varieties for any complex simple algebraic group are cluster varieties. This includes open Richardson varieties inside the flag variety .
Cohomology of cluster varieties. II. Acyclic case
Thomas Lam, David E. Speyer
In previous work, we initiated the study of the cohomology of locally acyclic cluster varieties. In the present work, we show that the mixed Hodge structure and point counts of acy…
Cluster Configuration Spaces of Finite Type
Nima Arkani-Hamed, Song He, Thomas Lam
For each Dynkin diagram , we define a ''cluster configuration space'' and a partial compactification . For , we have…
A conjectural Peterson isomorphism in K-theory
Thomas Lam, Changzheng Li, Leonardo C. Mihalcea +1
We state a precise conjectural isomorphism between localizations of the equivariant quantum K-theory ring of a flag variety and the equivariant K-homology ring of the affine Grassm…
Cohomology of cluster varieties. I. Locally acyclic case
Thomas Lam, David E. Speyer
We initiate a systematic study of the cohomology of cluster varieties. We introduce the Louise property for cluster algebras that holds for all acyclic cluster algebras, and for mo…
Toric networks, geometric -matrices and generalized discrete Toda lattices
Rei Inoue, Thomas Lam, Pavlo Pylyavskyy
We use the combinatorics of toric networks and the double affine geometric -matrix to define a three-parameter family of generalizations of the discrete Toda lattice. We constru…