Bifurcation of Fredholm maps. I: The index bundle and bifurcation (Q652929)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation of Fredholm maps. I: The index bundle and bifurcation |
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Bifurcation of Fredholm maps. I: The index bundle and bifurcation (English)
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5 January 2012
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The main purpose of the paper under review is to present a comprehensive account of the relationship between elliptic topology and bifurcation theory. The author is mainly concerned with the link between the index bundle of a family of linear Fredholm operators and bifurcation from a trivial branch of solutions of nonlinear elliptic partial differential equations. The approach includes the Atiyah-Singer family index theorem and the Lyapunov-Schmidt method.
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Fredholm map
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bifurcation
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index bundle
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\(J\)-homomorphism
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