Here is the back of the monitor with the Genesis connected through RGB using the BNC connectors
http://imgur.com/KCD7GFN
Here is the picture when all the cables are connected (playing Sonic The Hedgehog)
http://imgur.com/S8RAo0i
http://imgur.com/jP1U325
http://imgur.com/bPhkLVi
http://imgur.com/DYwIXzq
you'll notice that no blue colors are being displayed! Sonic is showing up as black rather than blue and everything has a weird tint to it that led me to believe that something is screwy with the color blue specifically (most likely a problem with the Sony PVM monitor itself).
To do further testing I tested the monitor with only the Red wire connected through the BNC connector in the back:
http://imgur.com/QRVcly9
Red worked perfectly
Next, I tested the monitor with only the Green wire connected through the BNC connector in the back:
http://imgur.com/jAyQxGF
Green worked perfectly
Finally, I tested the monitor with only the Blue wire connected through the BNC connector in the back:
http://imgur.com/WP87Fpo
The picture barely showed up instead of showing up as all blue as it was supposed to! I took another picture with the lights off to show how faint the picture is showing up when only the blue cable is connected:
http://imgur.com/MwFYjar
So I definitely know that the problem is that the color blue is not being displayed, however I have no other cables to test on the monitor so I am unsure if the problem is with the monitor itself or the cables.