Dirac eigenvalue estimates on surfaces

DOI10.1007/s002090100392zbMath1007.58014arXivmath/0201249OpenAlexW2067672154MaRDI QIDQ697337

Bernd Ammann, Christian Bär

Publication date: 17 September 2002

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201249

zbMATH Keywords

Arf invariantDirac eigenvalue boundsspin cut diameterWillmore integral

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Surfaces in Euclidean and related spaces (53A05)

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An eigenvalue comparison theorem for the Dirac operator on surfaces ⋮ Spectral gaps of Dirac operators describing graphene quantum dots ⋮ An estimate on the nodal set of eigenspinors on closed surfaces ⋮ Eigenvalue curves for generalized MIT bag models ⋮ The spinorial τ-invariant and 0-dimensional surgery ⋮ The first conformal Dirac eigenvalue on 2-dimensional tori ⋮ Dirac eigenvalue estimates on two-tori ⋮ Quantization for a nonlinear Dirac equation ⋮ Dirac-harmonic maps from degenerating spin surfaces. I: The Neveu-Schwarz case

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