The folks above pretty much covered it, but for what it's worth, here's my set up:
Bastard files (2) for general edge work/profiling. I like Nicholson, but many others are good too
DMT diafold coarse/fine (not always necessary, but cuts quickly and can come in handy)
Norton axe stone (silicon carbide, my preferred stone for basic sharpening)
Large rasp (shaping the handle to the head)
4 1/2 in angle grinder w/wire and felt wheels (Operator's recent post shows this tools usefulness)
Large leather strop (made myself, it's about 4" x 12" and wood mounted--great for final edge work)
Irwin quick grip 12" clamps (very handy for securing the whole length of a complete axe to your work surface for sharpening or other maintenance)
6" vise or similar - indespensible
Drill + variety of bits
1 in cold chisel, or similar piece of steel capable of being battered on (used to aid in removing old handle through eye of axe head)
Speaking of battering on things, you'll need a good engineer's/single jack type hammer for heavy work, and then I prefer a 20 oz wooden block mallet for the type of wacking needed to fit the head to the haft and to drive the wedge.
Linseed oil, sand paper, these are great for finishing off the handle. I'm very likely forgetting things which I regularly make use of, and of course there are plenty of other tools and products which are very nice, also. This is just a summary of what's in my shop.
Good luck!