Cool game! The graphics are awesome! I like the story, character and overall design too, and appreciate the checkpoints. Interesting in a good way that the levels don't reset on death. Also the sliding jump works great.
Having read some of the comments below, I had the same initial issues: trouble understanding how to proceed at first (I actually fell through the platform accidentally, trying to scroll down to see the controls :D), and the involuntary sliding was something to adjust to in some of the tighter spots. The latter is of course just a matter of preference, since everything was very doable once you took it into account. Having to jump at the very edge of many of the platforms also took some ajusting. In level 2 there's a narrow gap with acid (?) underneath, and if you (slide)jump at the edge, you get bounced back and down into the hazard.
Impressive amount of effort you put into this! Hope you have a good time continuing on it :)