Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Rimanyi, Richard"'
We study the geometry of the algebraic set of tuples of composable matrices which multiply to a fixed matrix, using tools from the theory of quiver representations. In particular, we determine its codimension $C$ and the number $\theta$ of its top-di
Externí odkaz:
http://arxiv.org/abs/2411.19920
Autor:
Gyenge, Ádám, Rimányi, Richárd
We compute the equivariant K-theory of torus fixed points of Cherkis bow varieties of affine type A. We deduce formulas for the generating series of the Euler numbers of these varieties and observe their modularity in certain cases. We also obtain re
Externí odkaz:
http://arxiv.org/abs/2409.03859
Autor:
Rimanyi, Richard
The Thom polynomial of a singularity $\eta$ expresses the cohomology class of the $\eta$-singularity locus of a map in terms of the map's simple invariants. In this informal survey -- based on two lectures given at the Isaac Newton Institute in 2024
Externí odkaz:
http://arxiv.org/abs/2407.13883
The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to $(0,1)$-matrices with fixed row and column sums. Namely, the Bruhat order induced by the geometry of a Cherkis bow variety
Externí odkaz:
http://arxiv.org/abs/2311.05531
Autor:
Botta, Tommaso Maria, Rimanyi, Richard
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 holomorphic symplectic varieties$\unicode{x2013}$called Cherkis bow vari
Externí odkaz:
http://arxiv.org/abs/2308.07300
Autor:
Rimanyi, Richard, Rozansky, Lev
In order to extend the geometrization of Yangian $R$-matrices from Lie algebras $gl(n)$ to superalgebras $gl(M|N)$, we introduce new quiver-related varieties which are associated with representations of $gl(M|N)$. In order to define them similarly to
Externí odkaz:
http://arxiv.org/abs/2105.11499
Autor:
Rimanyi, Richard, Varchenko, Alexander
We prove an $\mathbb F_p$-Selberg integral formula of type $A_n$, in which the $\mathbb F_p$-Selberg integral is an element of the finite field $\mathbb F_p$ with odd prime number $p$ of elements. The formula is motivated by analogy between multidime
Externí odkaz:
http://arxiv.org/abs/2012.01391
Autor:
Rimanyi, Richard, Varchenko, Alexander
We prove an $\mathbb F_p$-Selberg integral formula, in which the $\mathbb F_p$-Selberg integral is an element of the finite field $\mathbb F_p$ with odd prime number $p$ of elements. The formula is motivated by analogy between multidimensional hyperg
Externí odkaz:
http://arxiv.org/abs/2011.14248
Autor:
Rimanyi, Richard, Weber, Andrzej
Characteristic classes of Schubert varieties can be used to study the geometry and the combinatorics of homogeneous spaces. We prove a relation between elliptic classes of Schubert varieties on a generalized full flag variety and those on its Langlan
Externí odkaz:
http://arxiv.org/abs/2007.08976
Autor:
Rimanyi, Richard
In this survey paper we review recent advances in the calculus of Chern-Schwartz-MacPherson, motivic Chern, and elliptic classes of classical Schubert varieties. These three theories are one-parameter ($\hbar$) deformations of the notion of fundament
Externí odkaz:
http://arxiv.org/abs/1912.13089