On early Sunday afternoon, I arrived at Tompkins Square Park to find the two adults circling just east of the park. They circled and circled, getting higher and higher until they joined at least two other Red-tailed Hawks and what looked like another species of raptor. The Red-tailed Hawks escorted out the intruder.
When it was over the two Tompkins Square Park hawks returned and they seemed to be escorting a pair of Red-tailed Hawks to move further north. My interpretation of the events was that the pair of hawks seen frequently in Stuyvesant Town may have been chasing an intruder, gotten support from the TSP Pair, but once the intruder was safely escorted out of both pairs territories, the Stuyvesant Town hawks had to be chased back to their territory.