I can confirm that Maya 2013 works on mavericks, except for one crippling bug.
The app crashes when you try to batch render with mental ray. Otherwise it works fine and I've been using it for weeks.
it should be noted that the issue exists when executing a batch render from the command line as well. My guess is some sort of memory allocation issue due to how Mavericks "flattens" memory space.
strange thing is, a machine running mavericks can act as a slave machine for mental ray sattelite network rendering. you just have to start the render on a machine running 10.8 or earlier.
I've tested this on a macbook pro retina 15" with a Geforce 650, and a Mac Pro with a Quadro 4000 with the same results.
EDIT: even though 2013 isn't the latest maya it is still a supported product. I wouldn't be suprised if a service pack comes out down the line. I really hope it does.