46 citations · 86 across the 11 of their papers we have counts for
11 papers
Hitchin systems on ll- curves
Andrei N. Tyurin
One investigates the Hitchin systems over "large limit" curves.
On the Mumford - Narasimhan problem
Andrei N. Tyurin
Here we discuss an old problem of algebraic geometry using some new techniques. Namely we prove that over a generic curve stable vector bundle admits the Schottki representation.
Delzant models of moduli spaces
Andrei Tyurin
For every genus g, we construct a smooth, complete, rational polarized algebraic variety DM_g together with a normal crossing divisor D = sum D_i, such that for every moduli space…
Lattice gauge theories and the Florentino conjecture
Andrei Tyurin
We study the relation between the space of representation classes of the fundamental group of a Riemann surface and gauge theory on trivalent graphs. We construct a partial gauge f…
Three mathematical faces of SU(2) - spin networks
Andrei Tyurin
Spin networks are at the core of quantum gravity. Our aim is to plug the mathematical community at large into the procedures turn to create a finite quantum theory of general relat…
Complexification of Bohr-Sommerfeld conditions
Andrei Tyurin
The complex version of Bohr-Sommerfeld conditions is proposed. The BPU-construction (see [D.Borthwick, T. Paul and A. Uribe, Legendrian distributions with applications to the non-v…