Broncosfan247 is mostly right, however, a defensive player can jump offsides before the snap all he wants, as long as: he's back on his side before the ball is snapped, he doesn't startle an offensive lineman and make them jump, and he doesn't touch anyone or have a clear path to the quarterback.
Here's more precise definitions:
Offsides: A member of the defense is on the offensive side of the line of scrimmage during the snap
Neutral Zone Infraction: Before the snap, a member of the defense jumps into the neutral zone, causing an offensive player to false start. (Neutral zone is the length of the football when spotted on the ground).
Encroachment: Before the snap, a member of the defense crosses the line of scrimmage and touches an offensive player, or has a clear path to the quarterback.