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We present the first short-duration candidate microlensing events from theKepler K2 mission. From late April to early July 2016, Campaign 9 of K2obtained high temporal cadence observations over a 3.7 square degree region ofthe Galactic bulge. Its primary objectives were to look for evidence of afree-floating planet (FFP) population using microlensing, and demonstrate thefeasibility of space-based planetary microlensing surveys. Though Kepler K2 isfar from optimal for microlensing, the recently developed MCPM photometricpipeline enables us to identify and model microlensing events. We describe ourblind event-selection pipeline in detail and use it to recover 22short-duration events with effective timescales of less than 10 days previouslyannounced by the OGLE and KMTNet ground-based surveys. We also announce fivenew candidate events. One of these is a caustic-crossing binary event,consistent with a bound planet and modelled as such in a companion study. Theother four have very short durations (effective timescales less than 0.1 days)typical of an Earth-mass FFP population. Whilst Kepler was not designed forcrowded-field photometry, the K2C9 dataset clearly demonstrates the feasibilityof conducting blind space-based microlensing surveys towards the Galacticbulge.

Kepler K2 Campaign 9: I. Candidate short-duration events from the first space-based survey for planetary microlensing