MATH 6530

Last Updated

  • Schedule of Classes - June 6, 2025 7:22PM EDT
  • Course Catalog - June 6, 2025 7:07PM EDT

MATH 6530
K-Theory and Characteristic Classes

Course information provided by the Courses of Study 2024-2025. The Catalog/Courses of Study 2025-2026 is scheduled to publish mid-June.

An introduction to topological K-theory and characteristic classes. Topological K-theory is a generalized cohomology theory which is surprisingly simple and useful for computation while still containing enough structure for proving interesting results. The class will begin with the definition of K-theory, Chern classes, and the Chern character. Additional topics may include the Hopf invariant 1 problem, the J-homomorphism, Stiefel-Whitney classes and Pontrjagin classes, cobordism groups and the construction of exotic spheres, and the Atiyah-Singer Index Theorem.

When Offered Fall.

Prerequisites/Corequisites Prerequisite: MATH 6510, or permission of instructor.

View Enrollment Information

Syllabi: none

  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  • 19016 MATH 6530   LEC 001

  •  
    • TR
    • Aug 25 - Dec 8, 2025

    • Zakharevich, I

  • Instruction Mode: In Person