10 citations · 20 across the 11 of their papers we have counts for
12 papers
What is a noncommutative topos?
Karin Cvetko-Vah, Jens Hemelaer, Lieven Le Bruyn
In 1702.04949 noncommutative frames were introduced, generalizing the usual notion of frames of open sets of a topological space. In this paper we extend this notion to noncommutat…
Azumaya geometry and representation stacks
Jens Hemelaer, Lieven Le Bruyn
We develop Azumaya geometry, which is an extension of classical affine geometry to the world of Azumaya algebras, and package the information contained in all quotient stacks $[\ma…
Brauer-Severi motives and Donaldson-Thomas invariants of quantized 3-folds
Lieven Le Bruyn
Motives of Brauer-Severi schemes of Cayley-smooth algebras associated to homogeneous superpotentials are used to compute inductively the motivic Donaldson-Thomas invariants of the…
Covers of the arithmetic site
Lieven Le Bruyn
We give an explicit description of the Barr- and Diaconescu covers of the arithmetic site, which are relevant to cohomology. Further, we construct the arithmetic site as the commut…
The point variety of quantum polynomial rings
Pieter Belmans, Kevin De Laet, Lieven Le Bruyn
We show that the reduced point variety of a quantum polynomial algebra is the union of specific linear subspaces in , we describe its irreducible components and give…
The coordinate biring of
Lieven Le Bruyn
We propose to define -algebras as integral bi-rings with the co-ring structure being the descent data from to . The coordinate bi-ring of $…