There's no question that the whole area is Indo-centric. India has had its hands burnt in its dealings in Sri Lanka. In 1987, an agreement was signed that sent almost 100,000 Indian peacekeeping troops onto the island. Within weeks of arriving to implement the ceasefire peace agreement, the Indian troops found themselves fighting directly against the LTTE.
It's important to point out something that hasn't been said. It was between 1987 and 1990 that the most violent period of Sri Lanka erupted. I would estimate that between 60,000 and 80,000 people were slaughtered. You found them on the street corners or running down the rivers. This was not a Tamil-Sinhalese conflict; this was a Sinhalese civil war.
This was precipitated by the arrival of India onto the island. So within Sri Lankan politics, there is a great sensitivity towards anything resembling Indian influence. The Rajapaksa regime and previous governments have played this card very well, and have mobilized political support by raising the Indian bogey-man.
That being said, nothing will be done internationally unless India is on board. They are a player in all kinds of ways. In the early 1980s, they were arming and training the various Tamil factions, the five or six major ones. They are there; they are present. Having lost a prime minister to the LTTE, and having lost a significant number of men during the peacekeeping phase, they're very tentative about stepping in again. But they are definitely there, and for any type of concerted effort they have to be brought on board.