Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0872.57031
Niglio, Louis
Isotropic classes and Maslov classes. (Classes isotropes et classes de Maslov.) (French)
[J] Ann. Fac. Sci. Toulouse, VI. Sér., Math. 4, No.3, 633-654 (1995). ISSN 0240-2963

This paper gives general and detailed construction of the characteristic classes for pairs of isotropic subbundles in a symplectic vector bundle, without flatness condition. One of the main results is as follows: Let $I_1$ and $I_2$ be isotropic oriented subbundles of a symplectic vector bundle $E\to M$. Assume $\text {rank} I_1 \le\text {rank} I_2$, and $I_1$ and $I_2$ are contained in the Lagrange subbundles $L_1$ and $L_2$ of $E\to M$ respectively. Then each isotropic characteristic class of $(I_1,I_2)$ depends only on the Maslov class of $(L_1, L_2)$ and the Pontryagin class of $I_1$. Also the explicit formula for the isotropic class is given.
[G.Ishikawa (Sapporo)]

MSC 2000:: *57R20 Characteristic classes and numbers
37J99 Finite-dimensional Hamiltonian etc. systems
55R40 Homology of classifying spaces, characteristic classes

Keywords: characteristic classes; symplectic vector bundle; isotropic; Maslov class

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]