  Following arXiv:1501.03019 [hep-th], we study de Sitter space and spherical
subregions on a constant boundary Euclidean time slice of the future boundary
in the Poincare slicing. We show that as in that case, complex extremal
surfaces exist here as well: for even boundary dimensions, we isolate the
universal coefficient of the logarithmically divergent term in the area of
these surfaces. There are parallels with analytic continuation of the
Ryu-Takayanagi expressions for holographic entanglement entropy in $AdS/CFT$.
We then study the free energy of the dual Euclidean CFT on a sphere
holographically using the $dS/CFT$ dictionary with a dual de Sitter space in
global coordinates, and a classical approximation for the wavefunction of the
universe. For even dimensions, we again isolate the coefficient of the
logarithmically divergent term which is expected to be related to the conformal
anomaly. We find agreement including numerical factors between these
coefficients.
