manifolds and cobordisms
cobordism theory, Introduction
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
signature genus, Kervaire invariant
A-hat genus, Witten genus
Whitney embedding theorem
Thom's transversality theorem
Pontrjagin-Thom construction
Galatius-Tillmann-Madsen-Weiss theorem
geometrization conjecture,
Poincaré conjecture
elliptization conjecture
cobordism hypothesis-theorem
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B-bordism for spin structure