The star formation history of the Universe is fundamental to understand when studying the physics of galaxy evolution. Understanding this key property of the Universe requires the statistical study of large samples of galaxies through various redshifts.

Narrowband surveys have done wonders for the observation of line emitting galaxies by providing a blind and unbiased selection. Large samples of Ha, [OIII] and [OII] emitters have been found in this way and recently the Ha, [OIII] and [OII] luminosity functions (LFs) have become well-constrained, but now is the time to constraint the faint and bright ends in a more consistent way: with deep, wide area surveys.

Therefore, I will present the first results from Y-NBS, a large narrowband survey (1.06 um) conducted with HAWK-I/VLT which finds ~2000 line emitters between z~0.6-1.8, in the GOODS-S and COSMOS field. We combine an area of ~1 deg^2 down to a Ha luminosity limit of 10^43.0 erg/s, providing wide and deep coverage in order to explore the full range of the luminosity functions for Ha, [OIII] and [OII] in a consistent way.

We select our fully-corrected samples of Ha (z~0.6), [OIII] (z~1.1) and [OII] (z~1.8) emitting galaxies and present results of luminosity functions, further constraining our knowledge of how line emitters evolve. We put these data in the context of the cosmic star formation rate density evolution, thereby adding to our understanding of the evolution of galaxies and the Universe as a whole and constraining current models of star formation history. These Ha, [OIII] and [OII] are also ideal for future study with the upcoming MOONS instrument.