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I am interesting in the notion of cobordism. In particular, I want to understand Smale's proof of Poincare conjecture in higher dimention. In a webpage, I knew that the proof is followed by h-cobordism shortly. However, I do not notice that proof.

Please tell me how to proof it. I like simple proof diagramatic and know h-cobordism theorem.

Thank you for your considerations.

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Why don't you take a look at Milnor's "Lectures on the h-cobordism theorem". As with everything written by him, it's a great read! – Somnath Basu Nov 23 '11 at 13:42
Kosinski's textbook is also a good book to read with Milnor's notes. – Ryan Budney Nov 23 '11 at 14:07
Thanks a lot. I have not ever read these book. I try! – muta yasushi Nov 23 '11 at 14:15
The thing I don't like about Milnor's notes is that he scrupulously avoids talking about handles, always working directly with the Morse function. – Jim Conant Nov 26 '11 at 16:15
Thanks.I will be careful a little. – muta yasushi Nov 26 '11 at 17:53
up vote 3 down vote accepted

In order to prevent this question from resurfacing periodically due to the lack of an answer, here's a summary of the answers that are in the comments.

  • Milnor's "Lectures on the h-cobordism theorem"

  • Kosinski's "Differential Manifolds"

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Thanks. I have just discovered that Milnor's note have a proof of Poincare conjecture in higher dimension. – muta yasushi Nov 24 '11 at 10:02

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