29 citations · 55 across the 18 of their papers we have counts for
12 papers · 1 filter
Functoriality of logarithmic Hochschild homology of log smooth pairs
Ádám Gyenge, Márton Hablicsek, Leo Herr
The construction of a satisfactory dg category of logarithmic coherent sheaves remains a central open problem in logarithmic geometry. In this paper, we propose an alternative corr…
Logarithmic Hochschild (co)homology of logarithmic orbifolds
Marton Hablicsek, Leo Herr, Francesca Leonardi
Recently, the authors of this paper introduced logarithmic Hochschild (co)homology of logarithmic spaces in a geometric way using formality of derived intersections. In this paper,…
Motivic (Representation) Stability of Representation Varieties and Character Stacks
Márton Hablicsek, Jesse Vogel
In this paper, we introduce the notions of motivic representation stability that is an algebraic counterpart of the notion of representation stability. In the process, we also intr…
Arithmetic-Geometric Correspondence of Character Stacks via Topological Quantum Field Theory
Ángel González-Prieto, Márton Hablicsek, Jesse Vogel
In this paper, we introduce Topological Quantum Field Theories (TQFTs) generalizing the arithmetic computations done by Hausel and Rodríguez-Villegas and the geometric construction…
Logarithmic Hochschild co/homology via formality of derived intersections
Márton Hablicsek, Leo Herr, Francesca Leonardi
We define log Hochschild co/homology for log schemes that behaves well for simple normal crossing pairs or toroidal singularities. We prove a Hochschild-Kostant-Rosenberg i…
Virtual Classes of Character Stacks
Ángel González-Prieto, Márton Hablicsek, Jesse Vogel
In this paper, we extend the Topological Quantum Field Theory developed by González-Prieto, Logares, and Muñoz for computing virtual classes of -representation varieties of clos…
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…
Weak -Morita equivalences via quantization of the 1-shifted cotangent bundle
Marton Hablicsek
In this paper, we investigate the structure of the convergent quantization of the 1-shifted cotangent bundle of a smooth scheme over a perfect field of positive characteris…
Derived intersections over the Hochschild cochain complex
Márton Hablicsek
The paper generalizes a result of Behrend-Fantechi and Baranovsky-Ginzburg to the 1-shifted cotangent bundle of a smooth scheme over the field of complex numbers. We…
Hodge theorem for the logarithmic de Rham complex via derived intersections
Márton Hablicsek
In a beautiful paper Deligne and Illusie proved the degeneration of the Hodge-to-de Rham spectral sequence using positive characteristic methods. In a recent paper Arinkin, Căldăra…
Formality of derived intersections and the orbifold HKR isomorphism
Dima Arinkin, Andrei Caldararu, Marton Hablicsek
We study when the derived intersection of two smooth subvarieties of a smooth variety is formal. As a consequence we obtain a derived base change theorem for non-transversal inters…
Derived intersections and the Hodge theorem
Dima Arinkin, Andrei Caldararu, Marton Hablicsek
The algebraic Hodge theorem was proved in a beautiful 1987 paper by Deligne and Illusie, using positive characteristic methods. We argue that the central algebraic object of their…