Symplectic Geometry and Its Applications, Volume 4

A₁ action Anal arbitrary boundary canonical caustics characteristic coadjoint cobordism coefficients cohomology coincide commuting compact complex connected constant construction contact structure Corollary corresponding cotangent bundle critical points curve defined deformation diffeomorphism differential dimension Dokl eigenvalues English translation equal equivalent Euclidean example F₁ fibration fibre finite gap formula front Funct Funkts geodesic geometric germs Grassmann manifold group G Hamiltonian system hyperplane hypersurface invariant inverse scattering method isomorphic KdV equation Lagrangian fibration Lagrangian submanifold Lemma Let us consider level surface Lie algebra Lie group linear Maslov index Math matrix Nauk neighbourhood operator orbit P₁ P₂ parameter phase space Poisson bracket Poisson structure polarization poles polynomials prequantization Prilozh problem quadratic Hamiltonians quantization representation Riemann sect singularities solutions subgroup subspace symmetry symplectic group symplectic manifold symplectic space symplectic structure symplectomorphism Theorem theory torus transformation variables vector field zero