29 citations · 55 across the 18 of their papers we have counts for
4 papers · 1 filter
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories
Márton Hablicsek, Jesse Vogel
In this paper, we use a geometric technique developed by González-Prieto, Logares, Muñoz, and Newstead to study the -representation variety of surface groups $\mathfrak{X}_G(Σ_g…
Algebraic 3D Graphic Statics: reciprocal constructions
Márton Hablicsek, Masoud Akbarzadeh, Yi Guo
The recently developed 3D graphic statics (3DGS) lacks a rigorous mathematical definition relating the geometrical and topological properties of the reciprocal polyhedral diagrams…
Algebraic 3D Graphic Statics: Constrained Areas
Masoud Akbarzadeh, Marton Hablicsek
This research provides algorithms and numerical methods to geometrically control the magnitude of the internal and external forces in the reciprocal diagrams of 3D/Polyhedral Graph…
Non-Noetherian representation categories of generalized fields
Maël Denys, Márton Hablicsek, Giacomo Negrisolo
In this paper, we show that the categories of finitely generated projective -modules and -modules with morphisms being (splittable) injections are no…