I'm looking for a series I read five or more years ago, about cats (strays, but also house cats) who I'm pretty sure lived in a fairly big city and had some kind of ability that involved seeing strings(?) or nets or tangles or something like that in the air, and 'fixing' them, or maybe using them somehow. I remember--though this might have been a different novel--a section about a ame the cats of the city played, which I believe was about finding a perch where you could see as many other cats as possible, with as few of them seeing you?
I think that at least one of the books (of which I read two, not sure if there was more) had something do to with 'moon' in the title, and I think the second one had to do with kittens and a queen?
I distinctly remember one scene where the protagonists are in a subway or train station and find the body of a young cat on the tracks, who I'm fairly certain turns out to be still alive.