A. Varchenko

activity

19932023

most citedGeometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation

167 citations · 1.9k across the 134 of their papers we have counts for

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Showing 2015 · math.AGShow all

3 papers · 2 filters

math.AG2015

Rational differential forms on line and singular vectors in Verma modules over $s l_{2}$

Vadim Schechtman, Alexander Varchenko

We construct a monomorphism of the De Rham complex of scalar multivalued meromorphic forms on the projective line, holomorphic on the complement to a finite set of points, to the c…

math.AG2015★ 1 cited

Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae

R. Rimanyi, A. Varchenko

Consider the natural torus action on a partial flag manifold $F l$ . Let $Ω_{I} \subset F l$ be an open Schubert variety, and let $c^{s m} (Ω_{I}) \in H_{T}^{*} (F l)$ be its torus equivariant Cher…

math.AG2015

Dynamical Gelfand-Zetlin algebra and equivariant cohomology of Grassmannians

R. Rimanyi, A. Varchenko

We consider the rational dynamical quantum group $E_{y} (g l_{2})$ and introduce an $E_{y} (g l_{2})$ -module structure on $\oplus_{k=0}^n H^*_{GL_n\times\C^\times}(T^*Gr(k,n))'$, where $H^*_{G…

Rational differential forms on line and singular vectors in Verma modules over sl2​

Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae

Dynamical Gelfand-Zetlin algebra and equivariant cohomology of Grassmannians

Rational differential forms on line and singular vectors in Verma modules over $s l_{2}$