An extension of a theorem of Nicolaescu on spectral flow and the Maslov index

被引：7

作者：

Daniel, M ^{[1
]}

机构：

[1] Sci Applicat Int Corp, Appl Phys Operat, Mclean, VA 22102 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 02期

关键词：

spectral flow; Maslov index; Lagrangian subspace;

D O I：

10.1090/S0002-9939-99-05002-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we extend a theorem of Nicolaescu on spectral ow and the Maslov index. We do this by studying the manifold of Lagrangian subspaces of a symplectic Hilbert space that are Fredholm with respect to a given Lagrangian L-0. In particular, we consider the neighborhoods in this manifold of Lagrangians which intersect L-0 nontrivially.

引用

页码：611 / 619

页数：9

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