Zentralblatt MATH

78 Global analysis, analysis on manifolds57R52 Isotopy57R55 Differentiable structures57R56 Topological quantum field theories57R57 Applications of global analysis to structureson manifolds, Donaldson andSeiberg-Witten invariants[See also 58-XX]57R58 Floer homology57R60 Homotopy spheres, Poincaré conjecture57R65 Surgery and handlebodies57R67 Surgery obstructions, Wall groups[See also 19J25]57R70 Critical points and critical submanifolds57R75 O- and SO-cobordism57R77 Complex cobordism (U- and SU-cobordism)[See also 55N22]57R80 h- and s-cobordism57R85 Equivariant cobordism57R90 Other types of cobordism[See also 55N22]57R91 Equivariant algebraic topology of manifolds57R95 Realizing cycles by submanifolds57R99 None of the above, but in this section57Sxx Topological transformation groups[See also 20F34, 22-XX, 37-XX, 54H15,58D05]57S05 Topological properties of groups ofhomeomorphisms or diffeomorphisms57S10 Compact groups of homeomorphisms57S15 Compact Lie groups of differentiabletransformations57S17 Finite transformation groups57S20 Noncompact Lie groups of transformations57S25 Groups acting on specific manifolds57S30 Discontinuous groups of transformations57S99 None of the above, but in this section57Txx Homology and homotopy of topologicalgroups and related structures57T05 Hopf algebras [See also 16T05]57T10 Homology and cohomology ofLie groups57T15Homology and cohomology of homogeneousspaces of Lie groups57T20 Homotopy groups of topological groupsand homogeneous spaces57T25 Homology and cohomology of H-spaces57T30 Bar and cobar constructions[See also 18G55, 55Uxx]57T35 Applications of Eilenberg-Moore spectralsequences [See also 55R20, 55T20]57T99 None of the above, but in this section58-XX Global analysis, analysis onmanifolds [See also 32Cxx,32Fxx, 32Wxx, 46-XX, 47Hxx,53Cxx] (For geometric integrationtheory, see 49Q15)58-00 General reference works (handbooks,dictionaries, bibliographies, etc.)58-01 Instructional exposition(textbooks, tutorial papers, etc.)58-02 Research exposition (monographs,survey articles)58-03 Historical (must also be assigned at leastone classification number from Section01)58-04 Explicit machine computation and programs(not the theory of computation orprogramming)58-06 Proceedings, conferences, collections,etc.58Axx General theory of differentiable manifolds[See also 32Cxx]58A03 Topos-theoretic approach to differentiablemanifolds58A05 Differentiable manifolds, foundations58A07 Real-analytic and Nash manifolds[See also 14P20, 32C07]58A10 Differential forms58A12 de Rham theory [See also 14Fxx]58A14 Hodge theory[See also 14C30, 14Fxx, 32J25, 32S35]58A15 Exterior differential systems(Cartan theory)58A17 Pfaffian systems58A20 Jets58A25 Currents [See also 32C30, 53C65]58A30 Vector distributions(subbundles of the tangent bundles)58A32 Natural bundles58A35 Stratified sets [See also 32S60]58A40 Differential spaces