Signatures for J-hermitians and J-unitaries on Krein spaces with Real structures

Schulz-Baldes H, Villegas-Blas C (2017)

Publication Language: English

Publication Type: Journal article

Publication year: 2017

Journal

Mathematische Nachrichten Wiley-VCH Verlag

Book Volume: 290

Pages Range: 1840-1858

Abstract

For J-hermitian operators on a Krein space (,J) satisfying an adequate Fredholm property, a global Krein signature is shown to be a homotopy invariant. It is argued that this global signature is a generalization of the Noether index. When the Krein space has a supplementary Real structure, the sets of J-hermitian Fredholm operators with Real symmetry can be retracted to certain of the classifying spaces of Atiyah and Singer. Secondary ℤ2-invariants are introduced to label their connected components. Related invariants are also analyzed for J-unitary operators.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

National Autonomous University of Mexico / Universidad Nacional Autónoma de México (UNAM) MX Mexico (MX)

How to cite

APA:

Schulz-Baldes, H., & Villegas-Blas, C. (2017). Signatures for J-hermitians and J-unitaries on Krein spaces with Real structures. Mathematische Nachrichten, 290, 1840-1858.

MLA:

Schulz-Baldes, Hermann, and Carlos Villegas-Blas. "Signatures for J-hermitians and J-unitaries on Krein spaces with Real structures." Mathematische Nachrichten 290 (2017): 1840-1858.

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