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Look at NSResponder (touch and gesture events), and probably NSEvent.

 

The key functions are documented in NSEvent. Apple has a link to sample code in there as well. The API was added in 10.7. I just added swipe functionality to a Mandelbrot generation program I have written. The key methods happen in my main view class. You'll have to play around a bit to see what kind of effect you want during the swipe event. The Apple sample code does an animation while the swipe is happening. A little too sophisticated for my tastes.

Code:

- (BOOL)wantsScrollEventsForSwipeTrackingOnAxis:(NSEventGestureAxis)axis 
{
    // Inform the underlying view that we want horizontal scroll gesture events
    return (axis == NSEventGestureAxisHorizontal) ? YES : NO;
}


// Use horizontal swipe events to mean 'back' and 'forward', like a browser back button
- (void)scrollWheel:(NSEvent *)event 
{
    [event trackSwipeEventWithOptions:0 dampenAmountThresholdMin:-1 max:1 usingHandler:^(CGFloat gestureAmount, NSEventPhase phase, BOOL isComplete, BOOL *stop) {
        //NSLog(@"Got swipe amount %f phase %lu complete %d", gestureAmount, phase, isComplete);
        //if (isComplete)
        if (phase ==  NSEventPhaseBegan)
        {
            if (gestureAmount > 0)
            {
                // Simulate a 'back' operation
                [mandel_controller backButton:self];
            }
            else
            {
                // Simulate a 'forward' operation
                [mandel_controller forwardButton:self];

            }
        }
        *stop = NO;
    }];

}

One cool thing about this API is that if the user swaps the direction of their global preferences between the different directions, it will be transparent to your program. The underlying API handles this.

 

That's hard to say without seeing your code.

But I'd expect the document view to get these events, not the scrollview.