Residues of Chern-Maslov classes

We describe a localization theory for Maslov classes associated with two Lagrangian subbundles in a real symplectic vector bundle and give a definition of the residue of the Maslov classes. We also compute explicitly the residue of the first Maslov class in the case that the non-transversal set of t...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Mathematical Society of Japan 2005-01, Vol.57 (1), p.21-36
Main Authors: IZAWA, Takeshi, NAKAJIMA, Katsunori
Format: Article
Language:English
Subjects:
53D12
57R20
characteristic class
Chern-Weil theory
Maslov class
Maslov index
residue class
secondary class
Čech-de Rham cohomology
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We describe a localization theory for Maslov classes associated with two Lagrangian subbundles in a real symplectic vector bundle and give a definition of the residue of the Maslov classes. We also compute explicitly the residue of the first Maslov class in the case that the non-transversal set of the two Lagrangian subbundles have codimension 1.
ISSN:0025-5645
1881-2333
DOI:10.2969/jmsj/1160745811