Residue Classes of Lagrangian Subbundles and Maslov Classes
Copyright policy )Residue Classes of Lagrangian Subbundles and Maslov Classes
For Lagrangian subbundles with singularities in symplectic vector bundles, explicit formulas of relation between their residue classes and Maslov classes outside singularities are obtained. Then a Lagrangian subbundle with singularity is constructed where all possible Maslov classes are nonzero but residue classes vanish for dimension > 2 > 2 . Moreover, a Lagrangian immersion with singularity is constructed, where the similar property for the associated Maslov classes and residue classes is shown.
residue classes, Characteristic classes and numbers in differential topology, Immersions in differential topology, Lagrangian subbundles with singularities in symplectic vector bundles, Maslov classes, Lagrangian immersion with singularity, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
residue classes, Characteristic classes and numbers in differential topology, Immersions in differential topology, Lagrangian subbundles with singularities in symplectic vector bundles, Maslov classes, Lagrangian immersion with singularity, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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