Cobordism of differential manifolds

From Diffgeom
(Redirected from Smooth cobordism)
Jump to: navigation, search

Definition

Suppose M_1 and M_2 are differential manifolds. A cobordism of M_1 with M_2 is a [[manifold with boundary (N, \partial N) along with a diffeomorphism:

M_1 \sqcup M_2 \to \partial N