  We establish the Gaussian Double-Bubble Conjecture: the least
Gaussian-weighted perimeter way to decompose $\mathbb{R}^n$ into three cells of
prescribed (positive) Gaussian measure is to use a tripod-cluster, whose
interfaces consist of three half-hyperplanes meeting along an
$(n-2)$-dimensional plane at $120^{\circ}$ angles (forming a tripod or "Y"
shape in the plane). Moreover, we prove that tripod-clusters are the unique
isoperimetric minimizers (up to null-sets).
