Mood-wise and thematically, reminded me of Anne Carson, in how the poems explore asymmetrical desire from the perspective of the one who loves more (i.e. the one without power). The book borrows its title from the comic Krazy Kat, in which Krazy is in love with the criminal mouse Ignatz, who is always throwing bricks at Krazy's head (which Krazy takes to be an expression of love - love is indifferent to the beloved's indifference).
There is a surreal interweaving of the animate and inanimate, conscious and unconscious, bodies and landscapes, starting from the first lines of the book: "A gauze bandage wraps the land/ and is unwound, stained orange with sulfates." (Ignatz Invoked) Love, in these poems, is something like a hallucination: "I would forget you were it not that unseen flutes/ keep whistling the curving phrases of your body" (Invisible Ignatz). Mundane things come alive with meaning, and everything points towards the beloved: "She thought to trace the seam of his jeans with her thumbnail.// The supersaturated blues were beginning to pixellate around the edges, to become a kind of grammar." (Ignatz Domesticus).
"There was something/ in his plea...// something that touched me," Youn writes in 'The Labors of Ignatz'. We don't have perspective on what moves us - it doesn't move us if we do. Love is commitment to this "something" that we don't have a name for. This could very well turn out to be a delusion, but rather than try to see through it, Youn's poems are determined to see it through to the end. So the book doesn't give any insight into what love is, but it carries the texture of being in love.
I thought this was a really great book and I think it'll get better upon rereading.