DIFFERENTIABLE TOPOLOGY (M2, Hirsch)

Lecture Topic : (Pure Math) DIFFERENTIABLE TOPOLOGY (M2, Hirsch)

Prerequisites : Manifold Theory (M1);

Recommended Text(s) :

“Differential Topology”, Graduate Texts in Mathematics (GTM) No. 33, Morris W. Hirsch, Springer, 1976.

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Lectures and Links :

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Lecture 1  (link)

Ch.1   Manifolds and Maps

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Lecture 2  (link)

Ch.2   Function Spaces

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Lecture 3  (link)

Ch.3   Transversality

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Lecture 4 (link)

Ch.4   Vector Bundles and Tubular Neighborhoods

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Lecture 5  (link)

Ch.5   Degrees, Intersection Numbers, and the Euler Characteristic

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Lecture 6  (link)

Ch.6   Morse Theory

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Lecture 7  (link)

Ch.7   Cobordism

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Lecture 8  (link)

Ch.8   Isotropy

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Lecture 9  (link)

Ch.9   Surfaces

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