It was a pain getting to the burned connector. I had to remove the top box mount, the rear cover and undo the left saddlebag (or pannier as the Brits call it) just to gain good access to the connector. I removed the terminals from both ends of the connector, cleaned them, scraped them with a small wire brush and sprayed them with electrical cleaner. I bent the female end of the connector so that it will grip the male end firmly. Then, I applied a small amount of dielectric grease and made the connections. I started the engine and measured the voltage drop across the burned connector. The voltage measured 0.009 Volts with the engine running. With engine off, it measures 0.004 Volts. I took a picture of the fix that I'm using for now. I'm going to ride it like this for a while to see if the problem has been abated. Unfortunately, while I was in there, I noticed that my tail light assembly is broken. This happened last summer when someone tried to steal my top box. The top box was ripped apart on the bottom. I bought a new (smaller and cheaper) top box last fall. I thought that the damage was limited to the top box, but I discovered damage to the tail light assembly today. I ordered a new one for $77. Once the tail light assembly arrives, I'll put everything back together and try it out.