Analytic Deformations of the Spectrum of a Family of Dirac Operators on an Odd Dimensional Manifold with Boundary is popular PDF and ePub book, written by Paul Kirk in 1996, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Analytic Deformations of the Spectrum of a Family of Dirac Operators on an Odd Dimensional Manifold with Boundary can be Read Online from any device for your convenience.
Analytic Deformations of the Spectrum of a Family of Dirac Operators on an Odd Dimensional Manifold with Boundary Book PDF Summary
The analytic perturbation theory for eigenvalues of Dirac operators on odd dimensional manifolds with boundary is described in terms of [italic]extended L2 eigenvectors [end italics] on manifolds with cylindrical ends. These are generalizations of the Atiyah-Patodi-Singer extended [italic capital]L2 kernel of a Dirac operator. We prove that they form a discrete set near zero and deform analytically, in contrast to [italic capital]L2 eigenvectors, which can be absorbed into the continuous spectrum under deformations when the tangential operator is not invertible. We show that the analytic deformation theory for extended [italic capital]L2 eigenvectors and Atiyah-Patodi-Singer eigenvectors coincides.
Detail Book of Analytic Deformations of the Spectrum of a Family of Dirac Operators on an Odd Dimensional Manifold with Boundary PDF
- Author : Paul Kirk
- Release : 21 September 1996
- Publisher : American Mathematical Soc.
- ISBN : 9780821805381
- Genre : Mathematics
- Total Page : 73 pages
- Language : English
- PDF File Size : 12,5 Mb
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