3 papers
math.AG2026
Quasimap critical cohomology, Coulomb branches, and quantum groups
Tommaso Maria Botta, Spencer Tamagni
This article presents a systematic study of the critical cohomology of $\QM^ξ(\bbP^1, X)$, the moduli space of based quasimaps from $\bbP^1$ to a Nakajima quiver variety . We de…
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…