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BASIC FUNCTIONAL ANALYSIS PUZZLES OF SPECTRAL FLOW

Part of: Partial differential equations on manifolds; differential operators PL-topology

Published online by Cambridge University Press:  19 July 2011

B. BOOSS-BAVNBEK
B. BOOSS-BAVNBEK*
Affiliation:
IMFUFA, Department of Sciences, Systems and Models, Roskilde University, Postboks 260, DK-4000 Roskilde, Denmark (email: [email protected])
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Abstract

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We explain an array of basic functional analysis puzzles on the way to general spectral flow formulae and indicate a direction of future topological research for dealing with these puzzles.

Keywords

Dirac operatorperturbationsspectral flow

MSC classification

Secondary: 58J37: Perturbations; asymptotics 57Q20: Cobordism 58J32: Boundary value problems on manifolds 58J50: Spectral problems; spectral geometry; scattering theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 90 , Issue 2 , April 2011 , pp. 145 - 154
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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