2008 Fall MATH 262-01
Bulletin Course Description Universal coefficient theorems, K<129>nneth theorem, cup and cap products, Poincare duality, plus topics selected from: higher homotopy groups, obstruction theory, Hurewicz and Whitehead theorems, and characteristic classes. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title ALGEBRAIC TOPOLOGY II Department MATH Course Number 2008 Fall 262 Section Number 01 Primary Instructor Ng,Lenhard L Prerequisites Prerequisite: Mathematics 261 or consent of instructor. Course Homepage www.math.duke.edu/~ng/math262/
Synopsis of course content
Differential forms, de Rham cohomology, Poincaré duality, vector bundles, Thom isomorphism, characteristic classes, spectral sequences.
Textbooks
R. Bott and L. Tu, "Differential Forms in Algebraic Topology"
Assignments
There will be weekly homework assignments.
Exams
A take-home final exam is planned.
Term Papers
none
Grade to be based on
Homework assignments and the take-home final exam.
Additional Information
This course is essential for graduate students interested in studying Algebraic Topology, Differential Geometry, and Mathematical Physics, and would also be important for students interested in Algebraic Geometry.
Other texts that might be useful are Milnor and Stasheff, "Characteristic Classes", and Hatcher, "Algebraic Topology".
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