Category $\mathcal{O}$ 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 $\mathcal{O}$ of representations of shifted Yangians associated to a simply-laced simple Lie algebra $\mathfrak{g}$ over $\mathbb{C}$. In parti…