My car occasionally dies when coming to a stop, which means I have NO brakes

What is your question?

When I have taken my foot off the gas and am just coasting or just starting to apply the brake on a corner, at a stop sign, or stop light, the engine dies. This has happened several times, and I am afraid this is going to happen and I will run into someone. Two different mechanics have hooked my car up to their analyzer machines and can't figure out why this "occasionally" happens. One of them told me that the gas tank sock must have come off, and when the gas tank is low, this can happen. I keep topping the tank off, but really want to know what causes this and what to do to repair it. It seems to act up more in warm weather than in the winter time. Can you help me please. My car runs great and the motor is smooth and quiet.