DO I need the father's permission to travel to CA from NY?

I have an 8 month old baby, the father moved out because he didn’t want to be in the relationship anymore ( we are not married, relationship lasted 16 months). He comes to see the baby every 3 weeks. I want to spend the holidays with family for 2 weeks and wonder if I would need to have him give me permission, even though he is not that involved in the baby’s life decisions or care. I am flying with American Airlines. Also, the baby has my last name, but he is in the birth certificate.

thank you for anyone who can answer this post!