Summer semester 2016

Course description

Time and place

Lectures Tuesdays 8:30-10:00 Geom H3, Thursdays 8:30-10:00 Geom H6
Exercises Tuesdays 12:15-13:45 Geom 432

Exam

Oral exam. The plan is to have the exams on August 2, 2016 and September 29, 2016.

Lecture notes

The lectures will not follow any single reference, but the first lectures draw mainly from Allen Hatcher’s draft for a book.

• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5 (I also highly recommend reading pages 1-4 of Allen Hatcher’s algebraic topology book.)
• Lecture 6
• Lecture 7
• Lecture 8 (Updated May 3)
• Lecture 9
• Lecture 10
• Lecture 11
• Lecture 12
• Lecture 13
• Lecture 14
• Lecture 15
• Lecture 16
• Lecture 17
• Lecture 18
• Lecture 19
• Lecture 20 (Updated August 2; fixed typos)
• Lecture 21
• Lecture 22
• Lecture 23
• Lecture 24, handout on exterior powers
• Lecture 25
• Lecture 26
• Lecture 27

Problem sets

• Exercise session 2 April 12, 2016
• Exercise session 3 April 19, 2016
• Exercise session 4 April 26, 2016
• Exercise session 5 May 3, 2016
• Exercise session 6 May 10, 2016
• Exercise session 7 May 24, 2016
• Exercise session 8 May 31, 2016
• Exercise session 9 June 7, 2016
• Exercise session 10 June 14, 2016
• Exercise session 11 June 21, 2016
• Exercise session 12 June 28, 2016
• Exercise session 13 July 5, 2016
• Exercise session 14 July 12, 2016

Literature

• Michael F. Atiyah, K-theory.
  Second edition. Advanced Book Classics.
  Addison-Wesley Publishing Company, Advanced Book Program,
  Redwood City, CA, 1989
• Dale Husemoller, Fibre bundles.
  Graduate Texts in Mathematics, 20. Springer-Verlag.
• Max Karoubi, K-theory: An Introduction.
  Reprint of the 1978 edition. Classics in Mathematics.
  Springer-Verlag, Berlin, 2008.
• Allen Hatcher, Vector Bundles and K-theory.
  Draft for a book.