The American Mathematical Society have a free online magazine (articles in pdf) that can be subscribed to here http://www.ams.org/notices/ .
I particularly like the What Is...? set of columns. The current one is called WHAT IS...a Lefschetz Pencil? .
So what is a Lefschetz Pencil? I'll give you some clues. Put on your topology hat and learn what a compact 4-manifold is. Now twist the 4-manifold just enough so that you get a fibre bundle....are you with me?....now go read the rest of the article and explain it to me when you have.
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