  Fluctuations of conserved quantities such as baryon number, charge, and
strangeness are sensitive to the correlation length of the hot and dense matter
created in relativistic heavy-ion collisions and can be used to search for the
QCD critical point. We report the first measurements of the moments of net-kaon
multiplicity distributions in Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 7.7,
11.5, 14.5, 19.6, 27, 39, 62.4, and 200 GeV. The collision centrality and
energy dependence of the mean ($M$), variance ($\sigma^2$), skewness ($S$), and
kurtosis ($\kappa$) for net-kaon multiplicity distributions as well as the
ratio $\sigma^2/M$ and the products $S\sigma$ and $\kappa\sigma^2$ are
presented. Comparisons are made with Poisson and negative binomial baseline
calculations as well as with UrQMD, a transport model (UrQMD) that does not
include effects from the QCD critical point. Within current uncertainties, the
net-kaon cumulant ratios appear to be monotonic as a function of collision
energy.
