Warming and CO2 increases are often coincident, but it doesn't mean one causes the other. The phrase "climate forcing agents" implies a degree of certainty that would come from a testable scientific theory rather than an artifact of computer models repeatedly shown to be wrong.
See what you think about the PETM after reading this:
Ocean Burps and Climate Change
The article posted says this:
"During the PETM, unknown factors released vast quantities of methane that had been lying frozen in sediment deposits on the ocean floor. After release, most of the methane reacted with dissolved oxygen to form carbon dioxide, which made the seawater more acidic. Acidic seawater corrodes the carbonate shells of microplankton, dissolving them before they can reach the ocean floor and reducing the carbonate content of marine sediment."
I also discovered, for the first time, that the triggering episode is thought to be plate-tectonic changes causing landslides on continental slopes.
This page also indicates that there is a competing comet impact explanation for the PETM -- but I don't think Zachos ascribes to it.