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We search for signatures of gravitational lensing in the gravitational-wavesignals from compact binary coalescences detected by Advanced LIGO and AdvancedVirgo during O3a, the first half of their third observing run. We study: 1) theexpected rate of lensing at current detector sensitivity and the implicationsof a non-observation of strong lensing or a stochastic gravitational-wavebackground on the merger-rate density at high redshift; 2) how theinterpretation of individual high-mass events would change if they were foundto be lensed; 3) the possibility of multiple images due to strong lensing bygalaxies or galaxy clusters; and 4) possible wave-optics effects due topoint-mass microlenses. Several pairs of signals in the multiple-image analysisshow similar parameters and, in this sense, are nominally consistent with thestrong lensing hypothesis. However, taking into account population priors,selection effects, and the prior odds against lensing, these events do notprovide sufficient evidence for lensing. Overall, we find no compellingevidence for lensing in the observed gravitational-wave signals from any ofthese analyses.

Search for lensing signatures in the gravitational-wave observations from the first half of LIGO-Virgo's third observing run