manifolds and cobordisms
cobordism theory, Introduction
Definitions
locally Euclidean space
coordinate chart, coordinate transformation
atlas,
smooth structure
manifold
topological manifold
differentiable manifold, ,smooth manifold
infinite dimensional manifold
tangent bundle
normal bundle
G-structure, torsion of a G-structure
Cartan geometry:
Riemannian manifold
complex manifold
symplectic manifold
cobordism
B-bordism
extended cobordism
cobordism category
(∞,n)-category of cobordisms
Thom spectrum
cobordism ring
genus
Genera and invariants
signature genus, Kervaire invariant
A-hat genus, Witten genus
Classification
2-manifolds/surfaces
3-manifolds
4-manifolds
Dehn surgery
exotic smooth structure
Theorems
Whitney embedding theorem
Thom's transversality theorem
Pontrjagin-Thom construction
Galatius-Tillmann-Madsen-Weiss theorem
geometrization conjecture,
Poincaré conjecture
elliptization conjecture
cobordism hypothesis-theorem
B-bordism for spin structure
Last revised on June 22, 2025 at 14:42:32. See the history of this page for a list of all contributions to it.