2 citations · 3 across the 6 of their papers we have counts for
9 papers
The Heisenberg algebra of a vector space and Hochschild homology
Ádám Gyenge, Timothy Logvinenko
For any noncommutative smooth and proper variety we construct three actions of the Heisenberg algebra on the total Hochschild homology of its symmetric quotient stacks. One is defi…
Kleinian singularities: some geometry, combinatorics and representation theory
Lukas Bertsch, Ádám Gyenge, Balázs Szendrői
We review the relationship between discrete groups of symmetries of Euclidean three-space, constructions in algebraic geometry around Kleinian singularities including versions of H…
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibers
Lukas Bertsch, Ádám Gyenge, Balázs Szendrői
We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and a…
Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver
Tamás Görbe, Ádám Gyenge
Sklyanin's formula provides a set of canonical spectral coordinates on the standard Calogero-Moser space associated with the quiver consisting of a vertex and a loop. We generalize…
The Transition Function of over
Ádám Gyenge
We obtain explicit formulas for the trivialization functions of the principal bundle over two affine charts. We also calculate the explicit transition f…
A power structure over the Grothendieck ring of geometric dg categories
Ádám Gyenge
We prove the existence of a power structure over the Grothendieck ring of geometric dg categories. We show that a conjecture by Galkin and Shinder (proved recently by Bergh, Gorchi…
Hilbert scheme of points on cyclic quotient singularities of type (p,1)
Ádám Gyenge
In this note we investigate the generating series of the Euler characteristics of Hilbert scheme of points on cyclic quotient singularities of type (p,1). We link the appearing com…
Euler characteristics of Hilbert schemes of points on simple surface singularities
Ádám Gyenge, András Némethi, Balázs Szendrői
We study the geometry and topology of Hilbert schemes of points on the orbifold surface [C^2/G], respectively the singular quotient surface C^2/G, where G is a finite subgroup of S…
Enumeration of diagonally colored Young diagrams
Ádám Gyenge
In this note we give a new proof of a closed formula for the multivariable generating series of diagonally colored Young diagrams. This series also describes the Euler characterist…