3 papers
math.AG2025
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibers
Lukas Bertsch, Ãdám Gyenge, Balázs SzendrÅi
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…
math.AG2024
A power structure over the Grothendieck ring of geometric dg categories
Ãdám 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…
math.AG2024
Kleinian singularities: some geometry, combinatorics and representation theory
Lukas Bertsch, Ãdám Gyenge, Balázs SzendrÅi
We review the relationship between discrete groups of symmetries of Euclidean three-space, constructions in algebraic geometry around Kleinian singularities including versions of H…