I have a similar situation. I need to use the REST API to retrieve the Top Likes, so we can expose them on an internal site, with links. Can anyone guide me to the API call(s) that will yield this information? Ryan Rutan?
Depending on how you want to query things...you can try this:
and you can use the placeType, placeID from the JS environment and call: (believe it is called containerID, containerType)
/places?filter=entityDescriptor(placeType,placeID) to get the current place URI to pass into the above service to filter trending content to a specific place.
I do not see a way to get a list of "most likes" via the APIs...your best bet is to use this capability.
Hope this helps, =)