Co-worker refuses to do my work during my notice
I am currently serving notice, in a reputed MNC, where the notice period is said to be streamlined and smooth. My task was to handle the client and do minimal tasks, while a co-worker was to handle the rest of the work without knowledge of the client (for a limited time). Out of 3 months, only 1 month remains. So, I asked my manager to introduce this co-worker to the client, as my replacement. He did. Now, his interview has been scheduled with the client. His interview was scheduled on Tuesday. Now, this fellow has been working in the same skill set that client wants for the last 1.5 years. But he refuses to do his part of the work, citing interview preparations. Since I understand the tension of interviews, I said that I can manage one day, i.e. Friday, then he will have two days in hand to prepare (Weekends). I also informed him that he has to work for the first half (first 4 hours) on Monday, after which I will manage the rest. The problem with handling his work is, I need to go through the entire documentation (a lot of it) to get the gist of his work, and only then start working. We do not have so much time for that. Even then I informed him that I will help him with his work, but still he has to do his assigned work. Even then, he is not willing to work. He tells me that he will complain to my manager if I do not work in my notice period. But, I am doing my part of the work. He isn't doing his. How do I handle this colleague? Am I wrong in this situation, and should I do his work, until his interview is completed?

I am currently serving notice, in a reputed MNC, where the notice period is said to be streamlined and smooth. My task was to handle the client and do minimal tasks, while a co-worker was to handle the rest of the work without knowledge of the client (for a limited time). Out of 3 months, only 1 month remains.
So, I asked my manager to introduce this co-worker to the client, as my replacement. He did. Now, his interview has been scheduled with the client.
His interview was scheduled on Tuesday. Now, this fellow has been working in the same skill set that client wants for the last 1.5 years. But he refuses to do his part of the work, citing interview preparations. Since I understand the tension of interviews, I said that I can manage one day, i.e. Friday, then he will have two days in hand to prepare (Weekends). I also informed him that he has to work for the first half (first 4 hours) on Monday, after which I will manage the rest. The problem with handling his work is, I need to go through the entire documentation (a lot of it) to get the gist of his work, and only then start working. We do not have so much time for that. Even then I informed him that I will help him with his work, but still he has to do his assigned work.
Even then, he is not willing to work. He tells me that he will complain to my manager if I do not work in my notice period. But, I am doing my part of the work. He isn't doing his.
How do I handle this colleague? Am I wrong in this situation, and should I do his work, until his interview is completed?