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The index bundle for Fredholm morphisms

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Publication:2898487
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zbMath1271.19005arXiv1209.0267MaRDI QIDQ2898487

Nils Waterstraat

Publication date: 11 July 2012

Full work available at URL: https://arxiv.org/abs/1209.0267


zbMATH Keywords

\(K\)-theoryFredholmindex bundleBanach bundle


Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) Index theory (19K56)


Related Items (9)

A remark on bifurcation of Fredholm maps ⋮ Edge states and the valley Hall effect ⋮ Bifurcation of critical points along gap-continuous families of subspaces ⋮ The index bundle for selfadjoint Fredholm operators and multiparameter bifurcation for Hamiltonian systems ⋮ Fredholm theory of families of discrete dynamical systems and its applications to bifurcation theory ⋮ On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces ⋮ A \(K\)-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems ⋮ The index bundle and multiparameter bifurcation for discrete dynamical systems ⋮ A family index theorem for periodic Hamiltonian systems and bifurcation







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