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A generalization of Yoshida–Nicolaescu theorem using partial signatures

A generalization of Yoshida–Nicolaescu theorem using partial signatures We give a simplified proof of the Yoshida–Nicolaescu Theorem in the product case using the theory of partial signatures as in Giambò et al. (2004). The theorem gives the equality of the spectral flow of a family of first order self-adjoint differential operators defined on sections of a Hermitian vector bundle over a partitioned manifold and the Maslov index of the corresponding pair of Cauchy data spaces. No nondegeneracy assumption is made on the endpoints of the path of differential operators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

A generalization of Yoshida–Nicolaescu theorem using partial signatures

Eidam, J.; Piccione, P.
Mathematische Zeitschrift , Volume 255 (2) – Aug 19, 2006
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References (30)

Publisher
Springer Journals
Copyright
Copyright © 2006 by Springer-Verlag
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-006-0029-8
Publisher site
See Article on Publisher Site

Abstract

We give a simplified proof of the Yoshida–Nicolaescu Theorem in the product case using the theory of partial signatures as in Giambò et al. (2004). The theorem gives the equality of the spectral flow of a family of first order self-adjoint differential operators defined on sections of a Hermitian vector bundle over a partitioned manifold and the Maslov index of the corresponding pair of Cauchy data spaces. No nondegeneracy assumption is made on the endpoints of the path of differential operators.

Journal

Mathematische Zeitschrift – Springer Journals

Published: Aug 19, 2006

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