3 papers
math.RT2025
Okounkov's conjecture via BPS Lie algebras
Tommaso Maria Botta, Ben Davison
Let be an arbitrary finite quiver. We use nonabelian stable envelopes to relate representations of the Maulik-Okounkov Lie algebra to representations of t…
math.AG2025
Vertex functions for bow varieties and their Mirror Symmetry
Tommaso Maria Botta, Hunter Dinkins
In this paper, we study the vertex functions of finite type A bow varieties. Vertex functions are K-theoretic analogs of I-functions, and 3d mirror symmetry predicts that the q-dif…
math.RT2025
Hall algebra multiplication for stable envelopes on bow varieties
Tommaso Maria Botta, Richard Rimanyi
Elliptic stable envelopes are fundamental components in the geometric realization of quantum group representations. We present a formula for elliptic stable envelopes on type A Che…