8 citations · 50 across the 24 of their papers we have counts for
15 papers · 1 filter
The superpotential
Lieven Le Bruyn
The motivic Donaldson-Thomas series associated to an elliptic Sklyanin algebra corresponding to a point of order two differs from the conjectured series in Conjecture 3.4 of 1510.0…
Absolute geometry and the Habiro topology
Lieven Le Bruyn
Lecture notes of a course on A. Smirnov's approach to the ABC-conjecture via F1-geometry and an attempt to relate this to Jim Borger's F1-geometry based on lambda-rings.
Most irreducible representations of the 3-string braid group
Lieven Le Bruyn
As the 3-string braid group B(3) and the modular group PSL(2,Z) are both of wild representation type one cannot expect a full classification of all their finite dimensional simple…
Matrix transposition and braid reversion
Lieven Le Bruyn
Matrix transposition induces an involution on the isomorphism classes of semi-simple n-dimensional representations of the three string braid group. We show that a connected compone…
(non)commutative f-un geometry
Lieven Le Bruyn
Stressing the role of dual coalgebras, we modify the definition of affine schemes over the 'field with one element'. This clarifies the appearance of Habiro-type rings in the commu…
Noncommutative geometry and dual coalgebras
Lieven Le Bruyn
In arXiv:math/0606241v2 M. Kontsevich and Y. Soibelman argue that the category of noncommutative (thin) schemes is equivalent to the category of coalgebras. We propose that under t…