5 papers
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…
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…
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…
Bow varieties: Stable envelopes and their 3d mirror symmetry
Tommaso Maria Botta, Richard Rimanyi
In this paper we study the elliptic characteristic classes known as ''stable envelopes'', which were introduced by M. Aganagic and A. Okounkov. We prove that for a rich class of ho…
Geometric Bruhat order on (0,1)-matrices
Tommaso Maria Botta, Alexander O. Foster, Richard Rimanyi
The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to -matrices with fixed row and column sums. Name…