My girlfriends 2006 carbed 883 L has had an issue since new. Intermittent cough thru carb and engine dies when idling or trying to take off from a light. It only happens when hot (after about 20 mile ride). When the bike was new, I had it rejetted because it came lean from the factory (HD claims EPA makes them tune the new bikes lean). Didn't help much. I then installed SE intake and it ran fine all last year with no issues. Over the winter, I had stabil in the fuel tank and have recently put fresh gas in the tank. Today, it started the coughing thru carb again, but only after sitting idling at a light for a minute or 2. If I keep the RPMs at 1800 to 2000 at the light, no problems at all. I checked for intake leaks by spraying wd40 near the intake manifold and did not notice any increased RPMs so I don't suspect intake leak. I checked the vacuum at the petcock and there is plenty vacuum there at idle. Since there are no issues at high RPM, I don't suspect fuel screen. Fuel tank seems to be vented okay (no pressure in tank when I remove fuel cap and I can easily blow thru the vent line). I get the same symptoms with brand new spark plugs too, so I doube it is the plugs. Could a MAP sensor or Crank Position Sensor cause symptome like this at low RPM's?

 

Happened to my 06 1200c. It was the crank position sensor. Acted exactly the same way.

 

I was going to suggest adjusting the idle mixture, but after reading the previos post...

 

Same thing happened with my girlfriends 06 1200L with only 1000 miles on it.