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We present measurements of the Minkowski functionals extracted from theSDSS-III BOSS catalogs. After defining the Minkowski functionals, we describehow an unbiased reconstruction of these statistics can be obtained from a fieldwith masked regions and survey boundaries, validating our methodology withGaussian random fields and mock galaxy snapshot data. From the BOSS galaxy datawe generate a set of four density fields in three dimensions corresponding tothe northern and southern skies of LOWZ and CMASS catalogs, smoothing overlarge scales such that the field is perturbatively non-Gaussian. We extract theMinkowski functionals from each data set separately, and measure their shapesand amplitudes by fitting a Hermite polynomial expansion. For the shapeparameter of the Minkowski functional curves $a_0$, that is related to thebispectrum of the field, we find that the LOWZ-South data presents asystematically lower value of $a_0 = -0.080 \pm 0.040$ than its northern skycounterpart $a_0 = 0.032 \pm 0.024$. Although the significance of thisdiscrepancy is low, it potentially indicates some systematics in the data orthat the matter density field exhibits anisotropy at low redshift. By assuminga standard isotropic flat $\Lambda$CDM cosmology, the amplitudes of Minkowskifunctionals from the combination of northern and southern sky data give theconstraints $\Omega_{\rm c} h^2 n_{\rm s} = 0.110 \pm 0.006$ and $0.111 \pm0.008$ for CMASS and LOWZ, respectively, which is in agreement with the Planck$\Lambda$CDM best-fit $\Omega_{\rm c}h^{2} n_{\rm s} = 0.116 \pm 0.001$.

Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?