Observation of neutron stars during LIGO-Virgo-KAGRA's observing runs

Mergers of compact objects involving neutron stars provide vital information about the equation of state (EOS) of supernuclear-dense matter and shed light on the unknown physics of extreme dense matter. As of now, the LIGO-Virgo-KAGRA (LVK) collaboration has detected as many as 90 gravitational-wave signals, some of which are expected to originate from such mergers. In this talk, I will begin with an overview of the observations of binary neutron star and neutron star-black hole binaries in the recent LVK observing runs, including the latest transient catalog (GWTC-3). Implications from the observations of the GW signals will also be discussed, such as the constraints on the EOS governing matter inside the neutron star and on the neutron star radius. I will conclude with future prospects from the viewpoint of low-latency searches in the upcoming observing runs.