2 citations · 2 across the 2 of their papers we have counts for
7 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…
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…
Quantization and ``theta functions''
Andrei Tyurin
Geometric Quantization links holomorphic geometry with real geometry, a relation that is a prototype for the modern development of mirror symmetry. We show how to use this treatmen…