Irresponsible property caused my cat to fall from the vent and die.

In fact, I think neither side is responsible, the property management has not been repaired, and you don't care about your cat. If you know this is a long-term danger, you should care about your children or pets when the property is left unattended for a long time. Maybe you can make a simple repair and not keep him in front of you all the time.

Now if you investigate the property estimate, it is difficult to get compensation, and you can only admit that you are unlucky.