Zobrazeno 1 - 10
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pro vyhledávání: '"Tyurin, Nikolay A."'
Autor:
Tyurin, Nikolay A.
We study lagrangian submanifolds of algebraic variety Gr(1, n) equipped with the Kahler form given by the Plucker embedding. We use the correspondence between lagrangian submanifolds of Gr(1, n) and lagrangian submanifolds of variety M_{n-k}, given b
Externí odkaz:
http://arxiv.org/abs/2312.15660
Autor:
Tyurin, Nikolay A.
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. We present two basic constructions which can be applied to a sufficient
Externí odkaz:
http://arxiv.org/abs/2109.00209
Autor:
Tyurin, Nikolay A.
In the paper we continue to study Special Bohr-Sommerfeld geometry of compact symplectic manifolds. Using natural deformation parameters we avoid the difficulties appeared in the definition of the moduli space of Special Bohr-Sommerfeld cycles for co
Externí odkaz:
http://arxiv.org/abs/2104.12461
Autor:
Tyurin, Nikolay A.
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 presented the main interesting case: compact simply connected algebraic var
Externí odkaz:
http://arxiv.org/abs/1708.00723
Autor:
Tyurin, Nikolay A.
In the framework of Special Bohr - Sommerfeld geometry it was established that an ample divisor in compact algebraic variety can define almost canonically certain real submanifold which is lagrangian with respect to the corresponding Kahler form. It
Externí odkaz:
http://arxiv.org/abs/1601.05974
Autor:
Tyurin, Nikolay A.
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 to construction of finite dimensional moduli spaces of SBS lagrangian
Externí odkaz:
http://arxiv.org/abs/1508.06804
Autor:
Tyurin, Nikolay A.
One constructs lagrangian fibrations on the flag variety $F^3$ and proves that the fibrations are special.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/1005.2006
Autor:
Tyurin, Nikolay A.
Twist tori are examples of exotic monotone lagrangian tori, presented in [1]. This tree of examples grew up over the first one --- the torus $\Theta \in \R^4$, constructured in [2] and [3]. On the other hand, in [4] and [5] we proposed a new structur
Externí odkaz:
http://arxiv.org/abs/1004.2574
Autor:
Troshin, Sergey, Tyurin, Nikolay
We discuss effects of reflective scattering for hadron and heavy nuclei collisions at the LHC and asymptotical energies. It is shown that the reflective scattering might lead to decreasing matter density with energy beyond the LHC energies. Limiting
Externí odkaz:
http://arxiv.org/abs/0909.3926
Autor:
Tyurin, Nikolay A.
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 real polarizations. We claim that the Hori -- Vafa prediction, proven
Externí odkaz:
http://arxiv.org/abs/0712.1495