MATHEMATICS 722 A1: Differential Topology II
Spring 1999
Instructor: Takashi Kimura

Lectures: MWF 10:00-11:00am, Room TBA

Phone: (617)353-1486

Office: MCS 234

Text: Differential Forms in Algebraic Topology, by R. Bott and L. Tu; Springer-Verlag, Graduate Texts in Mathematics, #82, 1982.

Supplemental Reference: Differential Geometry, by M. Spivak; Publish or Perish, Inc. (c) 1979.

Office Hours: To Be Announced

Web Page: This class has a Web page which can be viewed with a Web browser (such as Netscape). Documents distributed in class, homework assignments, and related information will be posted on the Web page. The URL is http://math.bu.edu/people/kimura/Spring99/722/index.html

Content: This course is a continuation of Differential Topology I (MA 721). We continue discussing differential forms, integration on manifolds, Stokes' Theorem, Lie groups, cohomology of manifolds, some Riemannian geometry, winding numbers, and intersection theory. Special topics such as Morse theory, fiber bundles and connections may also be covered.

Homework: Homework will be assigned periodically. Students may discuss homework with each other (and are encouraged to do so) but all written work must be prepared independently.

Exams: There will be a take home midterm and final exam.

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