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


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  Etainvariants, ChernSimons 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. LieBäcklund) [See also 35A22]


58J90  Applications


58J99  None of the above, but in this section

