How are helicopter cyclic and collective jacks connected?
The helicopter Collective and Cyclic controls are connected to the rotor bladesby swash-plates. The following is a swash-plate :

 

The following animation shows the connection assembly working :

Swash plate in the resting position.



A raised swash plate causing negative collective blade pitch and thus down force. Note that the control arms are on the trailing sides of the blades, causing raised swash plate to decrease the blade pitch. 



A tilted swashplate giving cyclic blade control. Note the change in pitch of the blades during rotation.


Source : Wikipedia