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Abstract

For the special case of a rectangular at torus, we present and prove DeRham's Theorem, which says that cohomology is given by closed differential forms modulo exact forms.

Faculty Advisor Name

Frank Morgan

Faculty Advisor Institution

Williams College

Comments

This paper began as an undergraduate colloquium talk, required of every Williams College Mathematics and Statistics Major. The author would like to thank his sponsor, Professor Frank Morgan of Williams College, for advising the talk and this paper.

Included in

Mathematics Commons

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