PD Dr. Raphael Zentner

Reading seminar on Kirby calculus

We will discuss Kirby calculus and its relevance to 3- and 4-manifold topology.

The seminar meets on Wednesdays at 14:00 in M311. Talks will last 60min + 15min approximately. The event will be hybrid.

We will mainly use the following literature:

• [GS] R. Gompf, A. Stipsicz: 4-manifolds and Kirby calculus, GSM 20 of the AMS
• [KS] R. Kirby, M. Scharlemann: Eight faces of the Poincaré homology 3-sphere. Geometric topology (Proc. Georgia Topology Conf., Athens, Ga., 1977), pp. 113–146

List of talks and speakers (preliminary)

Date	Topic	Speaker	Literature	Recording & Notes
4.5.	Morse functions and handle decompositions	Lukas Lewark	[GS, 4.1 and 4.2]
11.5.	Morse functions and handle decompositions II	Lukas Lewark	[GS, 4.1 and 4.2]
11.5.	Kirby diagrams, linking numbers, framings	Ederson Dutra	[GS, 4.3 - 4.6 ]
25.5.	Dehn surgery, Rolfsen twist, slam-dunk move I	Lars Munser	[GS, 5.2 and 5.3 ]	Lars Munser
1.6.	Kirby Calculus, handle-slides, blow-up and blow-down II	Lars Munser	[GS, 5.1]
8.6.	Kirby Calculus, handle-slides, blow-up and blow-down II	Lars Munser	[GS, 5.1]
15.6.	Dehn surgery	Claudius Zibrowius	[GS, 5.2 and 5.3]
22.6.	Rolfsen twists, Slam-Dunk move II	Claudius Zibrowius	[GS, 5.2 and 5.3]
29.6.	Spin and Spin^c structures	Julian Seipel	[GS, 3 and 7.4]
6.7.	K3 surfaces	Wenbo Liao	[GS]
13.7.	Contact surgeries and symplectic filling I	Felix Eberhart	[Eliashberg, Geiges]
20.7.	K3 surfaces II	Wenbo Liao	[GS]
27.7.	Contact surgeries and symplectic filling II	Felix Eberhart	[Eliashberg, Geiges]