The present invention relates to a connection system and a method for connecting and disconnecting a floating unit to and from a buoy which is connected to a subsea installation, where the buoy comprises a first connection device for connecting pipes and/or lines for transfer of fluid, control signals and/or electric power between the buoy and the floating unit. The connection system further comprises a support structure which is laterally movable relative to the floating unit and a swivel stack arrangement movably mounted on the support structure. The swivel stack arrangement comprises a second connection device for connecting to the first connection device in the buoy
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