53 citations · 428 across the 47 of their papers we have counts for
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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…
New quiver-like varieties and Lie superalgebras
Richard Rimanyi, Lev Rozansky
In order to extend the geometrization of Yangian -matrices from Lie algebras to superalgebras , we introduce new quiver-related varieties which are associated w…
Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology
Giovanni Felder, Richárd Rimányi, Alexander Varchenko
We define an elliptic version of the stable envelope of Maulik and Okounkov for the equivariant elliptic cohomology of cotangent bundles of Grassmannians. It is a version of the co…
Quantum dilogarithm identities for the square product of A-type Dynkin quivers
Justin Allman, Richárd Rimányi
The famous pentagon identity for quantum dilogarithms has a generalization for every Dynkin quiver, due to Reineke. A more advanced generalization is associated with a pair of alte…
Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form
G. Felder, R. Rimanyi, A. Varchenko
We study the canonical U(\n)-valued elliptic differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of el…