You are going to get a ton of different answers here.
Technically speaking no, you won't damage it because lithium-ion batteries (assuming that is what you have) do not have a 'memory effect' like the older batteries do. So keeping it constantly plugged in will not diminish the lifespan on the battery. The issue here though is lithium-ion batteries don't last as long as the older ones so your battery will only have an average lifespan of 1 to 2 years.
Short answer, no. But you will hear others say it does effect it. I'm just speaking from a technical standpoint that supposedly that is one of the benefits of lithium-ion, no memory effect so you won't damage the battery by having it plugged in all the time.