Since it's been articulated clearly elsewhere, here is a succinct intro to what polyamory is:
Polyamory literally means "many loves".
Polyamory, according to wikipedia, is the practice, desire, or acceptance of having more than one intimate relationship at a time with the knowledge and consent of everyone involved.
From the individual standpoint polyamory is the possibility of having love relationships with more than one boyfriend/girlfriend/lover/wife/husband at a time. Maybe these people also have relationships with your other loves, or with different people entirely. The important point is that everyone knows about and accepts everyone else involved. Honesty is key and communication is essential.
That definition comes from the South African Polyamory website, to the admins of which, who also provide support groups throughout SA for the poly community, I owe a debt of gratitude.