Overview
Syllabus
Intro
Outline
Four dimensions
Exotic smooth structures
Applications of gauge theory
Surfaces in 4-manifolds
Surfaces in B4
Slice genus
The differential on Khovanov homology
More on Khovanov homology
The Rasmussen invariant
New proofs of old results
A new application
The knot trace
New applications
A possible approach to SPC4
Gluck twists
A negative result
A more positive result
Another construction of homotopy 4-spheres
Knots with the same 0-surgeries
Special RBG links
Slides From a special RBG link we obtain a knot ko by sliding Gover Runtil
An example
Computer experiments
Possibly slice knots
More examples
Taught by
Joint Mathematics Meetings