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Morse Theory

``Calculus of Variations in the large'' which uses nonlinear techniques to address problems in the Calculus of Variations. Morse theory applied to a Function $g$ on a Manifold $W$ with $g(M) = 0$ and $g(M') = 1$ shows that every Cobordism can be realized as a finite sequence of Surgeries. Conversely, a sequence of Surgeries gives a Cobordism.

See also Calculus of Variations, Cobordism, Surgery

© 1996-9 Eric W. Weisstein