Residue classes of Lagrangian subbundles and Maslov classes

Suzuki, Haruo

doi:10.1090/S0002-9947-1995-1282897-1

Residue classes of Lagrangian subbundles and Maslov classes
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by Haruo Suzuki

Trans. Amer. Math. Soc. 347 (1995), 189-202

DOI: https://doi.org/10.1090/S0002-9947-1995-1282897-1

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Abstract:

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 $> 2$. Moreover, a Lagrangian immersion with singularity is constructed, where the similar property for the associated Maslov classes and residue classes is shown.

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