Republicans in New York have until February 16 to get on the ballot, and don't necessarily have the same petition requirements as the Democrats. To get on the ballot, a Republican has to be matching funds eligible or "nationally known". If not, he or she must file petitions. The petitions had to be in by February 4, but the certifications of matching fund eligibility or being nationally known need not be in until February 16. Apparently, no Republicans bothered to file petitions.
Democrats must file petitions for themselves and their delegates, and those petitions were due February 4. If somebody contested the onerous petition requirements on the Democratic side, it would probably be overturned by a court, like the old Republican petition requirements were. But apparently, nobody contested them.