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The Galactic centre hosts a crowded, dense nuclear star cluster with ahalf-light radius of 4 pc. Most of the stars in the Galactic centre are coollate-type stars, but there are also >100 hot early-type stars in the centralparsec of the Milky Way. These stars are only 3-8 Myr old. Our knowledge of thenumber and distribution of early-type stars in the Galactic centre isincomplete. Only a few spectroscopic observations have been made beyond aprojected distance of 0.5 pc of the Galactic centre. The distribution andkinematics of early-type stars are essential to understand the formation andgrowth of the nuclear star cluster. We cover the central >4pc^2 of the Galacticcentre using the integral-field spectrograph KMOS. We extracted more than 1,000spectra from individual stars and identified early-type stars based on theirspectra. Our data set contains 114 bright early-type stars: 6 have narrowemission lines, 23 are Wolf-Rayet stars, 9 stars have featureless spectra, and76 are O/B type stars. Our wide-field spectroscopic data confirm that thedistribution of young stars is compact, with 90% of the young stars identifiedwithin 0.5 pc of the nucleus. We identify 24 new O/B stars primarily at largeradii. We estimate photometric masses of the O/B stars and show that the totalmass in the young population is >12,000M_sun. The O/B stars all appear to bebound to the Milky Way nuclear star cluster, while less than 30% belong to theclockwise rotating disk. The central concentration of the early-type stars is astrong argument that they have formed in situ. A large part of the young O/Bstars is not on the disk, which either means that the early-type stars did notall form on the same disk or that the disk is dissolving rapidly. [abridged]

KMOS view of the Galactic Centre I. Young stars are centrally concentrated