Seminar: The Interplay of Geometrical Topology and Gauge Theory.

Run by: Victor Pidstrygach

Questions? Contact Andriy Haydys.

Seminar outline.

Plan for SS 2005

Time: Fridays at 14:00 sharp, Sitzungszimmer

15.4., 22.4. and 29.4.

Overview of topological invariants of smooth manifolds, Examples and Gauge Theory [G 1.1-1.4, 2.4] [S Lectures 5,6] (Victor)

6.5.

Handlebodies. [Gompf 4.1-4.2](Annika)

13. und 20.5.

Heegard and Kirby diagrams; links and framings. [G 4.3-4.5] [S Lecture 1] (Andriy)

27.5.

Examples of Kirby diagrams. [G 4.6] (Sven)

3.6.

No seminar because of guest talks (Michael Singer on Extremal Kähler metrics at 15:15 and IUB guests at 14:00 and 16:30)

10.6.

Handle Moves. [G 5.1] [S Lecture 3] (Victor)

17.6.

Surgery. [G. 5.2-5.3] [S Lecture 2](Robert)

24.6.

Relative Kirby Calculus. Spin-Structures in Kirby diagrams. [G 5.4-5.7] (Ysette)

further talks

Lefschetz pencils. Applications.

Bibliography

[G]

R.E. Gompf, A.I. Stipsicz. 4-Manifolds and Kirby Calculus, AMS 1999.

[K]

R.C. Kirby. The Topology of 4-Manifolds, Springer, 1989.

[S]

Saveliev. Lectures on the Topology of 3-Manifolds, de Gruyter, 1999.