标题： 宇宙学参数估计来自二维纲领拓扑——使用纲领幅度作为标准尺测量膨胀历史 显示英文标题

标题： Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Expansion History using the Genus Amplitude as a Standard Ruler

摘要： 我们测量SDSS-III BOSS目录二维切片中星系分布的纲数，以限制控制宇宙膨胀历史的宇宙学参数。 BOSS目录被分为十二个同心壳层，在红移范围$0.25 < z < 0.6$内，我们反复从二维星系密度场中测量纲数，每次改变用于推导到壳层的距离-红移关系的宇宙学参数。 我们还间接地利用从SDSS主星系样本中测得的三维纲数来重建二维纲数幅度，这些星系位于低红移处$z < 0.12$。 我们将低红移和高红移的测量结果结合起来，找到使纲数幅度的红移演化最小的宇宙学模型，利用该量应该保持不变的事实。 作为一个距离测量方法，该测试对物质密度参数（$\Omega_{\rm m}$）和暗能量的状态方程（$w_{\rm de}$）敏感。 在结合高红移和低红移测量结果以及普朗克CMB数据后，我们得到了$w_{\rm de} = -1.05^{+0.13}_{-0.12}$，$\Omega_{\rm m} = 0.303 \pm 0.036$的约束。 更高红移的数据以及在低红移结合数据集将允许更强的约束。 显示英文摘要

摘要： We measure the genus of the galaxy distribution in two-dimensional slices of the SDSS-III BOSS catalog to constrain the cosmological parameters governing the expansion history of the Universe. The BOSS catalogs are divided into twelve concentric shells over the redshift range $0.25 < z < 0.6$ and we repeatedly measure the genus from the two-dimensional galaxy density fields, each time varying the cosmological parameters used to infer the distance-redshift relation to the shells. We also indirectly reconstruct the two-dimensional genus amplitude using the three-dimensional genus measured from SDSS Main Galaxy Sample with galaxies at low redshift $z < 0.12$. We combine the low- and high-redshift measurements, finding the cosmological model which minimizes the redshift evolution of the genus amplitude, using the fact that this quantity should be conserved. Being a distance measure, the test is sensitive to the matter density parameter ($\Omega_{\rm m}$) and equation of state of dark energy ($w_{\rm de}$). We find a constraint of $w_{\rm de} = -1.05^{+0.13}_{-0.12}$, $\Omega_{\rm m} = 0.303 \pm 0.036$ after combining the high- and low-redshift measurements and combining with Planck CMB data. Higher redshift data and combining data sets at low redshift will allow for stronger constraints.