3 papers
math.SG2005
Homological orthogonality of "symplectic" and "lagrangian"- corrected version
Nik. A. Tyurin
In this remark we discuss a relationship between (co)homology classes of a symplectic manifold realized by symplectic and lagrangian objects. We establish some transversality condi…
math.AG2002
Geometric quantization in the framework of algebraic lagrangian geometry
Nikolay A. Tyurin
This paper is a short version of the author habilitation thesis. The main results have been already published but here a lot of details are clarified. As well we add some new resul…
math.DG2001
The space of hermitian triples and the Ashtekar - Isham quantization
Nik. Tyurin
It was pointed out that the space of hermitian triples is an anology of the hermitian connection space. Generalizing the Ashtekar - Isham procedure one can quantize the space of he…