Maslov-type index theory for symplectic paths and spectral flow. II
type: Item
instance of: scholarly article
title: Maslov-type index theory for symplectic paths and spectral flow. II
zbMATH Open document ID: 0959.58017
DOI: 10.1142/S0252959900000133
author: Chaofeng Zhu
author: Yiming Long
published in: Chinese Annals of Mathematics. Series B
publication date: 2001-04-23T00:00:00Z
review text: The authors introduce a Maslov index theory for symplectic paths. Like the theory of \textit{Y. Long} [Pac. J. Math. 187, 113-149 (1999; Zbl 0924.58024)], this theory is parametrized by complex numbers of modulus one. These parametrized theories can be used to prove a Bott interation formula and to define a notion of mean index. The present theory extends the Maslov index discussed by \textit{S. E. Cappell, R. Lee} and \textit{E. Y. Miller} [Commun. Pure Appl. Math. 47, 121-186 (1994; Zbl 0805.58022)]. [For part I see \textit{C. Zhu} and \textit{Y. Long}, ibid. 20, No. 4, 413-424 (1999; see the paper above)].
reviewed by: Peter Haskell
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 58J30
Mathematics Subject Classification ID: 53D12
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 47A50
zbMATH DE Number: 1445767
zbMATH Keywords: Maslov index
zbMATH Keywords: symplectic path
zbMATH Keywords: spectral flow
zbMATH Keywords: relative Morse index
MaRDI profile type: Publication
full work available at URL: s0252959900000133
OpenAlex ID: W2489224316
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description: scientific article; zbMATH DE number 1445767