Kafka on the Shore by Haruki Murakami

The aging Nakata, tracker of lost cats, who never recovered from a bizarre childhood affliction, finds his pleasantly simplified life suddenly turned upside down. As their parallel odysseys unravel, cats converse with people; fish tumble from the sky; a ghost-like pimp deploys a Hegel-spouting girl of the night; a forest harbours soldiers apparently un-aged since World War II. There is a savage killing, but the identity of both victim and killer is a riddle - one of many which combine to create an elegant and dreamlike masterpiece.