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QUANTUM COHOMOLOGY OF THE LAGRANGIAN GRASSMANNIAN
LAGRANGIAN GRASSMANNIAN QUANTUM COHOMOLOGY
2015/12/17
Let V be a symplectic vector space and LG be the Lagrangian
Grassmannian which parametrizes maximal isotropic subspaces in V . We give
a presentation for the (small) quantum cohomology ring QH¤(LG) ...
Construction of homogeneous Lagrangian submanifolds in $\CP^n$ and Hamiltonian stability
Lagrangian submanifolds Hamiltonian stability
2010/11/19
We apply the concept of castling transform of prehomogeneous vector spaces to produce new examples of minimal homogeneous Lagrangian submanifolds in the complex projective space. Furthermore we verify...
Lagrangian Floer theory and mirror symmetry on compact toric manifolds
Floer cohomology mirror symmetry toric manifolds open-closed Gromov-Witten invariant
2010/12/1
this paper we study Lagrangian Floer theory on toric manifolds from the point of view of mirror symmetry. We construct a natural isomorphism between the Frobenius manifold structures of the (big) quan...
Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifolds
Time-dependent Mechanics presymplectic structures Poisson structures
2010/11/26
A description of time-dependent Mechanics in terms of Lagrangian submanifolds of presymplectic and Poisson manifolds is presented. Two new Tulczyjew triples are discussed. The first one is adapted to ...
Floer homology and its continuity for non-compact Lagrangian submanifolds
Floer homology non-compact Lagrangian submanifolds
2010/3/1
We give a construction of the Floer homology of the pair of vnon-compact Lagrangian submanifolds, which satisfies natural continuity property under the Hamiltonian isotopy that moves the infinity but ...
