Problems with starters

Hello together, have a 2006 Fat Boy with Twin Cam 88 engine. I installed the charged battery and wanted to start the engine. The engine didn’t start or the starter didn’t spin. I then connected the car battery with starter cable. The starter now went very slowly, but the engine didn’t start anyway. Shortly afterwards I saw some smoke rising from below. I then stopped immediately. The cables on the battery were quite warm. I suspect that the smoke from the battery Does anyone know this problem or does anyone know what’s broken?? Greetings Charly