Prof. Paul Gunnells, LGRT 1115L, 545-6009, gunnells at math dot umass dot edu.
Topics in Geometry II follows Math 703 and continues the development of the topology and geometry of differentiable manifolds. Topics include vector bundles, differential forms, tensors, Stokes's theorem, de Rham cohomology, and Riemannian geometry.
The required texts are
Others that you might find valuable are
There will be problem sets assigned during the term. Some problems will be graded, and will count for 25% of your grade. There will also be a midterm and a final exam, which will be worth 30% each. The remaining 15% will be based on course participation.
Please make sure you are using the problems from the second edition of the textbook. The first edition has different problems.
The date and time of the final will be set later in the term.