The green wire that has been cut may be the kill wire. There should be an earth wire that goes to the key switch that earths the ignition coil when it is turned to the off position. A lot of later mowers have the headlight switch incorporated into the key switch in that you have two "on" positions, one with headlights on, one with headlights off. Don't know if your machine even has headlights or if it does if it uses the same set up.