Are there any 2013 chevy equinox exhaust manifold recalls?

There are not any recalls that are active for the exhaust manifold on the 2013 Chevy Equinox. The component is known to have problems though so Chevrolet did issue a service bulletin to the dealerships to inspect it for any signs of damage. Recalls are generally issued when a component in a car fails enough times that it is determined that there was a defective batch of that part. Recalls are also issued whenever there is a component related to the safety of the vehicle that fails such as the airbags or seatbelts. If Your exhaust manifold does get damaged I recommend going to a Chevy dealer and letting them inspect it because they may be able to repair it for free.