## 58Jxx | 58H | 58 | 58K |

58J05 | Elliptic equations on manifolds, general theory [See also 35-XX] |

58J10 | Differential complexes [See also 35Nxx]; elliptic complexes |

58J15 | Relations with hyperfunctions |

58J20 | Index theory and related fixed point theorems [See also 19K56, 46L80] |

58J22 | Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20] |

58J26 | Elliptic genera |

58J28 | Eta-invariants, Chern-Simons invariants |

58J30 | Spectral flows |

58J32 | Boundary value problems on manifolds |

58J35 | Heat and other parabolic equation methods |

58J37 | Perturbations; asymptotics |

58J40 | Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx] |

58J42 | Noncommutative global analysis, noncommutative residues |

58J45 | Hyperbolic equations [See also 35Lxx] |

58J47 | Propagation of singularities; initial value problems |

58J50 | Spectral problems; spectral geometry; scattering theory [See also 35Pxx] |

58J52 | Determinants and determinant bundles, analytic torsion |

58J53 | Isospectrality |

58J55 | Bifurcation [See also 35B32] |

58J60 | Relations with special manifold structures (Riemannian, Finsler, etc.) |

58J65 | Diffusion processes and stochastic analysis on manifolds [See also 35R60, 60H10, 60J60] |

58J70 | Invariance and symmetry properties [See also 35A30] |

58J72 | Correspondences and other transformation methods (e.g. Lie-Bäcklund) [See also 35A22] |

58J90 | Applications |

58J99 | None of the above, but in this section |