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Spectral boundary conditions and index theorem for two-dimensional compact manifold with boundary

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Publication:1816174
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DOI10.1016/0003-4916(92)90085-ZzbMath0875.58026OpenAlexW2019234956MaRDI QIDQ1816174

A. V. Mishchenko, Yurii A. Sitenko

Publication date: 24 November 1996

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(92)90085-z

zbMATH Keywords

nonlocal boundary conditionsexternal magnetic fieldcompact surfaceindex theoremAtiyah-Patodi-Singer boundary condition


Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)


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Heat kernel expansion: user's manual, REGULARIZED CALCULUS: AN APPLICATION OF ZETA REGULARIZATION TO INFINITE DIMENSIONAL GEOMETRY AND ANALYSIS, Dirac type operators on the quantum solid torus with global boundary conditions, Dirac operator on a disk with global boundary conditions, Global boundary conditions for a Dirac operator on the solid torus



Cites Work

  • On the heat equation and the index theorem
  • Spectral asymmetry and Riemannian geometry. III
  • Supersymmetry and the Atiyah-Singer index theorem
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