| 57-XX |
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Manifolds and cell complexes {For complex manifolds, see\newline 32Qxx} |
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57Rxx |
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Differential topology {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx} |
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57R05 |
Triangulating |
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57R10 |
Smoothing in differential topology |
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57R12 |
Smooth approximations in differential topology |
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57R15 |
Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) |
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57R17 |
Symplectic and contact topology in high or arbitrary dimension {For dimensions 3 and 4, see 57K33, 57K43} |
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57R18 |
Topology and geometry of orbifolds |
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57R19 |
Algebraic topology on manifolds and differential topology |
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57R20 |
Characteristic classes and numbers in differential topology |
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57R22 |
Topology of vector bundles and fiber bundles [See also 55Rxx] |
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57R25 |
Vector fields, frame fields in differential topology |
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57R27 |
Controllability of vector fields on $C^\infty$ and real-analytic manifolds [See also 49Qxx, 37C10, 93B05] |
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57R30 |
Foliations in differential topology; geometric theory [See also 53C12] |
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57R32 |
Classifying spaces for foliations; Gelfand-Fuks cohomology [See also 58H10] |
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57R35 |
Differentiable mappings in differential topology |
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57R40 |
Embeddings in differential topology |
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57R42 |
Immersions in differential topology |
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57R45 |
Singularities of differentiable mappings in differential topology |
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57R50 |
Differential topological aspects of diffeomorphisms |
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57R52 |
Isotopy in differential topology |
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57R55 |
Differentiable structures in differential topology |
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57R56 |
Topological quantum field theories (aspects of differential topology) |
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57R57 |
Applications of global analysis to structures on manifolds [See also 57K41, 58-XX] |
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57R58 |
Floer homology |
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57R60 |
Homotopy spheres, Poincaré conjecture |
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57R65 |
Surgery and handlebodies |
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57R67 |
Surgery obstructions, Wall groups [See also 19J25] |
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57R70 |
Critical points and critical submanifolds in differential topology |
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57R75 |
$\mathrm{O}$- and $\mathrm{SO}$-cobordism |
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57R77 |
Complex cobordism ($\mathrm{U}$- and $\mathrm{SU}$-cobordism) [See also 55N22] |
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57R80 |
$h$- and $s$-cobordism |
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57R85 |
Equivariant cobordism |
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57R90 |
Other types of cobordism [See also 55N22] |
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57R91 |
Equivariant algebraic topology of manifolds |
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57R95 |
Realizing cycles by submanifolds |
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57R99 |
None of the above, but in this section |
