2007 Fall MATH 262-01

Bulletin Course Description
Universal coefficient theorems, Kenneth theorem, cup and cap products, Poincar 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 Number2007 Fall 262
Section Number 01
Primary Instructor Hain,Richard M
Permission required? N
Course Homepage www.math.duke.edu/faculty/saper/Instruction/math262.F07/


Prerequisites
Linear Algebra, Advanced Calculus, and Algebraic Topology I (Math 261), 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
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.



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