9 citations · 20 across the 12 of their papers we have counts for
12 papers
Lagrangian geometry of algebraic varieties
Nikolay A. Tyurin
Every algebraic variety can be regarded as a symplectic manifold being equipped with a Kahler form. Therefore it is natural to study lagrangian geometry of any algebraic variety. W…
New example of modified moduli space of special Bohr - Sommerfeld lagrangian submanifolds
Nik. A. Tyurin
We present an example of modified moduli space of special Bohr - Sommerfeld lagrangian submanifolds for the case when the given algebraic variety is the full flag for $\mathb…
Towards the moduli space of special Bohr - Sommerfeld lagrangian cycles
Nikolay A. Tyurin
In previous papers we introduced the notion of special Bohr - Sommerfeld lagrangian cycles on a compact simply connected symplectic manifold with integer symplectic form, and prese…
Special Bohr - Sommerfeld geometry
Nikolay A. Tyurin
We present a new approach to special lagrangian geometry which works for Bohr - Sommerfeld lagrangian submanifolds of symplectic manifolds with integer symplectic forms. This leads…
Special lagrangian fibrations on flag variety
Nikolay A. Tyurin
One constructs lagrangian fibrations on the flag variety and proves that the fibrations are special.
Three conjectures on lagrangian tori in the projective plane
Nikolay A. Tyurin
In this paper we extend the discussion on Homological Mirror Symmetry for Fano toric varieties presented by Hori and Vafa to more general case of monotone symplectic manifolds with…