2006 Fall MATH 262-01
Bulletin Course Description Universal coefficient theorems, K<129>nneth theorem, cup and cap products, Poincar<130> 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 2006 Fall 262 Section Number 01 Primary Instructor Saper,Leslie D Permission required? N Course Homepage www.math.duke.edu/faculty/saper/Instruction/math262.F06/
Prerequisites
Math 261 (Algebraic Topology I) or permission of instructor
Synopsis of course content
Differential forms, de Rham cohomology, Poincaré duality, vector bundles, Thom isomorphism, characteristic classes
Textbooks
Differential Forms in Algebraic Topology, by R. Bott and L. Tu
Assignments
weekly problem sets
Exams
Midterm exam and final exam
Grade to be based on
homework and exams
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.
