The Maslov index in weak symplectic functional analysis

Bernhelm Booss-Bavnbek; Chaofeng Zhu

doi:10.1007/s10455-013-9367-z

The Maslov index in weak symplectic functional analysis

Bernhelm Booss-Bavnbek, Chaofeng Zhu

Matematik og Fysik (IMFUFA)

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

13 Citationer (Scopus)

1143 Downloads (Pure)

Abstract

We recall the Chernoff-Marsden definition of weak symplectic structure and give a rigorous treatment of the functional analysis and geometry of weak symplectic Banach spaces. We define the Maslov index of a continuous path of Fredholm pairs of Lagrangian subspaces in continuously varying Banach spaces. We derive basic properties of this Maslov index and emphasize the new features appearing.

Originalsprog	Engelsk
Tidsskrift	Annals of Global Analysis and Geometry
Vol/bind	44
Udgave nummer	3
Sider (fra-til)	283-318
Antal sider	36
ISSN	0232-704X
DOI	https://doi.org/10.1007/s10455-013-9367-z
Status	Udgivet - okt. 2013

Bibliografisk note

Submitted, 24 July, 2012, Accepted (with suggestions for changes), 28 November 2012, Revised 30 January, 2013, Fully accepted 31 January, 2013

Emneord

Closed relations
Fredholm pairs of Lagrangians
Maslov index
Spectral flow
Symplectic splitting
Weak symplectic structure

Link til dokument

10.1007/s10455-013-9367-z

WeakSymplectic_bbb+cz_submitted.pdfIndsendt manuskript, 527 KB
Revised and accepted submission of 30 January, 2013Indsendt manuskript, 364 KB

http://arxiv.org/abs/1301.7248

Citer dette

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AU - Zhu, Chaofeng

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KW - Fredholm pairs of Lagrangians

KW - Maslov index

KW - Spectral flow

KW - Symplectic splitting

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KW - Fredholm pairs of Lagrangians

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KW - Spectral flow

KW - Symplectic splitting

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