53 citations · 428 across the 47 of their papers we have counts for
52 papers
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…
The main reasons for matrices multiplying to zero
Jakub Koncki, Richard Rimanyi
We provide an explicit description of the maximal-dimensional components of the variety parametrizing sequences of matrices of prescribed sizes whose product is zero.
Interpolation characterization of higher Thom polynomials
Richard Rimanyi
Thom polynomials provide universal formulas for the fundamental class of singularity loci in terms of characteristic classes. Ohmoto extended this notion to SSM-Thom polynomials, w…
Thom polynomials. A primer
Richard Rimanyi
The Thom polynomial of a singularity expresses the cohomology class of the -singularity locus of a map in terms of the map's simple invariants. In this informal survey -- ba…
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…