Yes, it is a warm period.
Looking at the geological record, we are in a very warm period, and have been for around 10,000 years now. Sea level is up by over 200 meters, and if all the ice at both poles melted tomorrow, it would make less than a 10 meter difference.
It has been warmer in the past. It has also been much much colder. Most of the past 5 to 10 Million Years have been much colder. But before that, it was much warmer. The estimates for that time give a temperature average of about 5 degrees C warmer. That period is called the 'Mid Eocene Climactic Optimum'. It was 'optimum' for a reason. The number of species of both plants and animals peaked. Apparently, everything bloomed. That was when horses and camels began.
