3 citations · 8 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
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…
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…
Framed cohomological Hall algebras and cohomological stable envelopes
Tommaso Maria Botta
There are multiple conjectures relating the cohomological Hall algebras (CoHAs) of certain substacks of the moduli stack of representations of a quiver to the Yangian $Y^{Q}_{M…
Shuffle products for elliptic stable envelopes of Nakajima varieties
Tommaso Maria Botta
We find an explicit formula that produces inductively the elliptic stable envelopes of an arbitrary Nakajima variety associated to a quiver Q from the ones of those Nakajima variet…