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A remark on the space of metrics having nontrivial harmonic spinors

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Publication:360537
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DOI10.1007/s11784-013-0096-5zbMath1280.58014arXiv1206.0499OpenAlexW2011388605MaRDI QIDQ360537

Nils Waterstraat

Publication date: 27 August 2013

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0499


zbMATH Keywords

spectral flowharmonic spinors


Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Spectral flows (58J30) Manifolds of metrics (especially Riemannian) (58D17)


Related Items

On the space of connections having non-trivial twisted harmonic spinors ⋮ Bifurcation of critical points for continuous families of \(C^2\) functionals of Fredholm type ⋮ A family index theorem for periodic Hamiltonian systems and bifurcation ⋮ The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems



Cites Work

  • Unnamed Item
  • Harmonic spinors for twisted Dirac operators
  • Harmonic spinors
  • On the space of metrics with invertible Dirac operator
  • Metrics with harmonic spinors
  • Invertible Dirac operators and handle attachments on manifolds with boundary
  • Self-Adjoint Fredholm Operators And Spectral Flow
  • Unbounded Fredholm Operators and Spectral Flow
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