Open Access
January, 2005 Residues of Chern-Maslov classes
Takeshi IZAWA, Katsunori NAKAJIMA
J. Math. Soc. Japan 57(1): 21-36 (January, 2005). DOI: 10.2969/jmsj/1160745811

Abstract

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.

Citation

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Takeshi IZAWA. Katsunori NAKAJIMA. "Residues of Chern-Maslov classes." J. Math. Soc. Japan 57 (1) 21 - 36, January, 2005. https://doi.org/10.2969/jmsj/1160745811

Information

Published: January, 2005
First available in Project Euclid: 13 October 2006

zbMATH: 1072.53028
MathSciNet: MR2114718
Digital Object Identifier: 10.2969/jmsj/1160745811

Subjects:
Primary: 53D12
Secondary: 57R20

Keywords: Čech-de Rham cohomology , characteristic class , Chern-Weil theory , Maslov class , Maslov index , residue class , secondary class

Rights: Copyright © 2005 Mathematical Society of Japan

Vol.57 • No. 1 • January, 2005
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