Would you ignore your colleagues who gossip and make up rumors?

I will ignore this kind of people. Such people are very common. It takes a lot of effort to meet such people.

Regarding the rumors he created, he should remain unchanged in response to any changes. If you defend his rumors, you're playing into his hands. In the workplace, no one will tell the truth from false rumors. If you argue with him, your colleagues will laugh. The correct thing to do is to turn a blind eye to his rumors and ignore them. Wherever the facts are, time passes and the rumors are disproven. If he can't find an opponent, he will naturally die out.

Don’t fight back in his own way. If you hold a grudge against him and always look for opportunities to fight back against him, then you are putting yourself on the same level as him. Not only is this not good for you, but it will lower your quality. For him, you should never talk about his rights and wrongs and shortcomings in front of others, but only talk about the good side. Don't give him an excuse to attack you.

Give necessary explanations when necessary. If things get really bad, you might as well go directly to him and confess to him face to face. We have no grudges. I hope that what you said and what you did was due to misunderstanding. If I did something wrong, please point it out and I will apologize. If it is a misunderstanding, I will give you a serious explanation. At the same time, if your boss has been influenced by rumors and has opinions about you, you must ask your boss to give you the necessary explanation candidly. Only state the objective facts without making any further excuses. We must not let his one-sided words deceive the leader, but we must never take the opportunity to attack him. Indicate to the leader that this should be a misunderstanding caused by insufficient communication between batches. In short, if you face it with a calm heart, everything will be fine.