MORSE THEORY (PhD, Milnor)

Lecture Topic : (Pure Math) MORSE THEORY (PhD, Milnor)

Prerequisites : Lie Groups (M2); Riemannian Geometry (M2); Manifolds (M2);

Recommended Text(s) :

“Morse Theory”, J. Milnor, Princeton University Press, 1969.

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Lectures and Links :

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Lecture 1  (link)

Ch.1   Non-Deganerate Smooth Functions on a Manifold

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Lecture 2  (link)

Ch.2   A Rapid Course in Riemannian Geometry

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Lecture 3  (link)

Ch.3   The Calculus of Variations Applied to Geodesics

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Lecture 4  (link)

Ch.4   Applications to Lie Groups and Symmetric Spaces

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Lecture 5  (link)

Appendix :  The Homotopy Type of a MonotoneUnion

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