Material discussed in lectures Foliation Theory (Master Class MRI, 2006)

See also: exercises

1. Week 39:

Section 1.1, definition of foliation atlas, and alternative characterization via Frobenius integrability.

2. Week 40:

Section 1.2, various characterizations of foliations.

3. Week 41:

Section 1.2, orientability, Godbillon-Vey class.

See lecture notes Orientations on vector bundles.

4. Week 42:

Construction of foliations. Background on group actions. (see lecture notes).

5. Week 43:

Section 2.1, Holonomy, as representation of fundamental group. Proof of homotopy invariance remains to be given.

6. Week 44:

Section 2.2, Riemannian foliations, finite holonomy. Lecture by Prof. I. Moerdijk.

*. Week 45: Break: no lecture this week.

*. Week 46: No lecture on November 15 because of strike of local bus company. This week's lecture is moved to Friday, December 1.

7. Week 47:

Tubular neighborhood theorem (see the course notes;

Sect. 2.3: local Reeb Stability.

8. Week 48:

Sect. 2.4: orbifolds, part 1.

9. Extra lecture on Friday, December 1, 13:15 -- 16:00. Location: Math building, 611A.

Sect. 2.4: orbifolds, part 2.

10. Week 49:

Last part of Sect. 2.4 orbifolds.

Beginning of Sect. 2.5: Global Reeb stability in codimension 1.

11. Week 50:

Global Reeb stability, Sect. 2.5.

12. Week 51 (last lecture on Wednesday, December 20).

Sect. 2.6. Thurston's stability theorem.

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