New apartment, floors are in poor condition

I just moved into a new apartment in NYC. As you can see in the photos and title, the sealant on the hardwood floors is in a very poor state. I have since filled most of the space with my furniture, so redoing them is probably out of the question, without a massive inconvenience to me. Is this something that my landlord can be compelled to fix? I mostly don’t want to be held responsible for any subsequent damage to the wood due to the sealant coming apart. Also, it’s kind of annoying to constantly pick up flakes of sealant on my bare feet.