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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Residue classes of Lagrangian subbundles and Maslov classes


Author: Haruo Suzuki
Journal: Trans. Amer. Math. Soc. 347 (1995), 189-202
MSC: Primary 57R20; Secondary 58F05
MathSciNet review: 1282897
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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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DOI: http://dx.doi.org/10.1090/S0002-9947-1995-1282897-1
PII: S 0002-9947(1995)1282897-1
Article copyright: © Copyright 1995 American Mathematical Society