167 citations · 1.9k across the 134 of their papers we have counts for
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Positive Populations
Vadim Schechtman, Alexander Varchenko
A positive structure on the varieties of critical points of master functions for KZ equations is introduced. It comes as a combination of the ideas from classical works by G.Luszti…
Equivariant quantum differential equation and equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and B-Theorem
Giordano Cotti, Alexander Varchenko
In arXiv:1901.02990v1 the equivariant quantum differential equation () for a projective space was considered and a compatible system of difference equations was introduc…
Incarnations of XXX Bethe ansatz equations and integrable hierarchies
Igor Krichever, Alexander Varchenko
We consider the space of solutions of the Bethe ansatz equations of the XXX quantum integrable model, associated with the trivial representation of $\wideha…
Three-Dimensional Mirror Self-Symmetry of the Cotangent Bundle of the Full Flag Variety
Richárd Rimányi, Andrey Smirnov, Alexander Varchenko +1
Let be a holomorphic symplectic variety with a torus action and a finite fixed point set of cardinality . We assume that elliptic stable envelope exists for …
3d Mirror Symmetry and Elliptic Stable Envelopes
Richárd Rimányi, Andrey Smirnov, Alexander Varchenko +1
We consider a pair of quiver varieties (X;X') related by 3d mirror symmetry, where X =T*Gr(k,n) is the cotangent bundle of the Grassmannian of k-planes of n-dimensional space. We g…
Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space
Vitaly Tarasov, Alexander Varchenko
We consider the equivariant quantum differential equation for the projective space . We prove an equivariant gamma theorem for , which describes the asymptotics o…