I saw a pair of Pigeons, but my companion saw something else in their general vicinity. We were down below the rise of the Heights in Brooklyn Bridge Park, looking up to where the swells live. The hawk was perched on the top balcony, facing in, but with that wonderfully flexible neck glance backwards and sideways and all around the town, as well as the harbor. Was anybody home in that apartment? What a view they would have had! An adult Accipiter. But was it cooperii or striatus? I had a tough time with this bird. The Accipters are one of the harder bird identification problems. Seemed like a straight-edged tail with relatively thin white terminal band on it (Sharpie). But the head sure looked darker than the back (Coop), at least in most of my pictures. The bird made a quick sortie out over the park and back into the trees beside this building, its tail looking very straight-edged. A single bold Starling gave it the what-for.
I called it, tentatively, as a female Sharpie. But let me be the first to admit that identifying the species is not the be-all and end-all of the experience.
UPDATED: Readers beg to differ. See comments below.