Simplicial Homology and De Rham's Theorem

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2009-05-04

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Abstract

After giving the necessary background in simplicial homology and cohomology, we will state Stokes's theorem and show that integration of di erential forms on a smooth, triangulable manifold M provides us with a homomorphism from the De Rham cohomology of M to the simplicial cohomology of M. De Rham's theorem, which claims that this homomorphism is in fact an isomorphism, will then be stated and proved.

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Thorner, Jesse A. (2009). Simplicial Homology and De Rham's Theorem. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/1280.


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