An extension of a theorem of Nicolaescu on spectral flow and the Maslov index
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- by Mark Daniel PDF
- Proc. Amer. Math. Soc. 128 (2000), 611-619 Request permission
Abstract:
In this paper we extend a theorem of Nicolaescu on spectral flow 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.References
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Additional Information
- Mark Daniel
- Affiliation: Applied Physics Operation, SAIC, McLean, Virginia 22102
- Address at time of publication: Advanced Power Technologies, Inc., 1250 Twenty-Fourth St., NW, Suite 850, Washington, DC 20037
- Email: amdaniel@ccf.nrl.navy.mil, amdaniel@apti.com
- Received by editor(s): January 20, 1998
- Received by editor(s) in revised form: April 7, 1998
- Published electronically: July 28, 1999
- Communicated by: Ronald A. Fintushel
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 611-619
- MSC (1991): Primary 57M99; Secondary 53C15, 58G25
- DOI: https://doi.org/10.1090/S0002-9939-99-05002-9
- MathSciNet review: 1622789