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metadata.dc.type: | Artigo de Periódico |
Title: | Invariants de Maslov équivariants |
Other Titles: | K-Theory |
Authors: | Souza, Maria Luiza Lapa de |
metadata.dc.creator: | Souza, Maria Luiza Lapa de |
Abstract: | We construct two cohomological invariants associated to pairs of Lagrangian sub-bundles of a symplectic bundle on a compact manifold upon which a compact Lie group is acting. The first invariant, which we call the classical equivariant Maslov H-invariant, provides an obstruction to Lagrangian transversality and lives in the Borel cohomology. The second invariant, which we call the equivariant Maslov U-invariant, generalises the author's results in K-Theory 13 (1998), 347–361 to the equivariant context and provides a necessary and sufficient condition for equivariant Lagrangian transversality, up to homotopic stability, and lives in the U-theory (intermediate between the real complex K-theories). As an application, we show that two Lagrangian sub-bundles of a symplectic bundle on a homogeneous space are always stably transverse. |
Keywords: | equivariant K-theory Maslov invariants characteristic classes Lagrangian bundles |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/7552 |
Issue Date: | Mar-2002 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
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