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You can sue neighbor for trespass, plus damages as a result of losing internet for 3 days. You would do this is District Court.
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You can sue your neighbor for trespass and intentional interference with a contractual relationship. However, there may be a proof problem with regard to establishing that your neighbor cut the wire. Do you have a witness that saw him do it? Obviously, you should call the cable company and get them to reconnect the lines and refund the pro rata charges for the days you did not have internet.