Topology of Manifolds

Tu/Th  9:30-10:45
Boyd 410

We will offer a self-contained exposition of the cohomolgy of differential forms, de-Rahm cohomology and its applications.

Topics may include:

• Differential forms
• The de-Rham Theorem
• Laplacian and harmonic forms

Books:
The following books may be useful for your study:

1. Geometry of Differential Forms by Shigeyuki Morita
2. From Calculus to Cohomolgy by Ib Masden and Jorgen Tornehave
3. Differential forms and applications by M. Do Carmo.

However, there is no need to buy any of them. Notes will be given once a week.

Grade:
Based on homework.