A knot in S^{4n+3} is called slice if it bounds a disk in the bounding ball D^{4n+4}.
We will discuss the obstructions to a knot K being slice. In particular we will discuss
a daring/foolish conjectural criterion for a knot in S^3 to be slice.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/6625