4 papers
Category for truncated shifted Yangians and the bi-infinite Bott-Samelson variety
Joel Kamnitzer, Antoine Labelle, Alexis Leroux-Lapierre +2
In this paper, we study the category of representations of shifted Yangians associated to a simply-laced simple Lie algebra over . In parti…
Gaudin models and moduli space of flower curves
Aleksei Ilin, Joel Kamnitzer, Leonid Rybnikov
We introduce and study the family of trigonometric Gaudin subalgebras in for arbitrary simple Lie algebra . This is the family of commutative subalgebras of ma…
Cactus flower spaces and monodromy of Bethe vectors
Joel Kamnitzer, Leonid Rybnikov
We continue the study of cactus flower moduli spaces and Gaudin models started in arXiv:2308.06880, arXiv:2407.06424. We show that isomorphism classes of operadic…
Fixed points of reverse Hessenberg convolution varieties
Joel Kamnitzer
Associated to any unit interval graph, Syu Kato introduced a variety which gives (via the geometric Satake correspondence) a graded representation whose character is the chr…