WS 21
Seminar Topology
Here you can find more Information.
Topic Topological K-Theory.
Registration per MÜSLI.
| Date: | Topics: | Status: |
|---|---|---|
| 21.10.21 | Introduction | Reserved |
| 28,10,21 | Chapter I §1.1, 1.2 (Vector bundles, Operations) | Reserved |
| 04,11,21 | §1.3, 1.4 - p. 17 (subbundles, quotients, vb's on compact spaces) | Reserved |
| 11,11,21 | p.18 - p.25 (collapsing, clutching) | Reserved |
| 18,11,21 | p. 26- §1.5 p. 33 (complem. bundles, classification, modules over C(X)) | Reserved |
| 25,11,21 | Chapter II §2.1: p.42 - 49 (§2.2) (Def. K*(X)) | Reserved |
| 02,12,21 | p. 50 - p.57 (exact sequence) | Reserved |
| 09,12,21 | §2.3 p. 57, p. 61-68 (Props. 2.3.5) (Bott periodicity) | Reserved |
| 16,12,21 | p. 68 - p.75 (Bott periodicity) | Reserved |
| 13,01,22 | p. 76 -78 (skip §2.4), §2.5: p. 79-84 (Computations for some X) | Reserved |
| 20,01,22 | §2.6: p. 85 - p. 90 (Products) | Reserved |
| 27,01,22 | p. 91 -98 (Products) | Available |
| 03,02,22 | p. 98 - p. 103 up to prop. 2.7.2 p. 107 bottom - p. 110 (Thom isomorphismus) | Available |
| 10,02,22 | p. 111 - p. 118 (Künneth theorem, operations in Chapter III) | Available |
| 17,02,22 | p. 119, 120, 135-137 (Adams operations, Hopf invariant) | Available |
Literature: Atiyah,K-Theory, Advanced Book Classics, Addison-Wesley, 1989.