Capacitors have a maximum voltage they can hold as you say, but also have a maximum current they can handle.  This is usually referred to as the <i>ripple current</i> spec.  Since it's the current that matters, it can also be expressed as a maximum AC voltage at particular frequencies.

In your case, you will have a 1200V p-p 70 kHz sine wave on your capacitor.  The fastest rate of change of that signal is at the zero crossing, which is 600V * 2 * Pi * 70kHz = 264 V/&micro;s.  The current thru a capacitor is dV/dt * C.  Let's use 1 &micro;F for example.  264 V/&micro;s * 1&micro;F = 264 Amps peak, 187 Amps RMS, which is the ripple current the cap must be able to sustain.