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math.CO2022★ 1 cited
Plabic links, quivers, and skein relations
Pavel Galashin, Thomas Lam
We study relations between cluster algebra invariants and link invariants. First, we show that several constructions of positroid links (permutation links, Richardson links, grid d…
math.CO2022
Rational Noncrossing Coxeter-Catalan Combinatorics
Pavel Galashin, Thomas Lam, Minh-Tâm Quang Trinh +1
We solve two open problems in Coxeter-Catalan combinatorics. First, we introduce a family of rational noncrossing objects for any finite Coxeter group, using the combinatorics of d…
math.CO2012
Alcoved Polytopes II
Thomas Lam, Alexander Postnikov
This is the second of two papers where we study polytopes arising from affine Coxeter arrangements. Our results include a formula for their volumes, and also compatible definitions…