Gronk: Note: a have been exchanged...
DaveSigaty: The cut at 1 starts the fun, threatening to capture two black stones and connect to the left. When Black answers at 2, White 3 takes advantage of Black's shortage of liberties. White 5 threatens to connect by capturing two stones. Black 6 connects at 3. White 7 and 9 prevent Black from making two eyes. White 3 and 9 are two variations on the theme of shortage of liberties - a very important idea in tsumego.
The final result is ko. Although Black had a lot of ko threats, White can afford to give something up in order to win the ko since the black group at the bottom will die.
It is worth wondering what would have happened if Black had answered White 1 with 2 instead of playing a. In this case it appears that Black can answer 3 with 4. However, White 5 renews the threat of capturing at a while at the same time threatening to play at 8 and capture three stones. Black's only chance is Black 6 but White plays atari at 7 and connects at 9. At this point White has four liberties and Black has two cutting points at a and b. White will capture some stones and live.