  The modern understanding of topological insulators is based on Wannier
obstructions in position space. Motivated by this insight, we study topological
superconductors from a position-space perspective. For a one-dimensional
superconductor, we show that the wave function of an individual Cooper pair
decays exponentially with separation in the trivial phase and polynomially in
the topological phase. For the position-space Majorana representation, we show
that the topological phase is characterized by a nonzero Majorana polarization,
which captures an irremovable and quantized separation of Majorana Wannier
centers from the atomic positions. We apply our results to diagnose
second-order topological superconducting phases in two dimensions. Our work
establishes a vantage point for the generalization of Topological Quantum
Chemistry to superconductivity.
