  The charge transported when a quantum pump is adiabatically driven by
time-dependent external forces in presence of dissipation is given by the line
integral of a pumping field $\mathbf{F}$. We give a general expression of
$\mathbf{F}$ in terms of quantum correlation functions evaluated at fixed
external forces. Hence, an advantage of our method is that it transforms the
original time-dependent problem into an autonomous one. Yet another advantage
is that the curl of $\mathbf{F}$ gives immediate visual information about the
geometric structures governing dissipative quantum pumping. This can be used in
a wide range of experimental cases, including electron pumps based on quantum
dots and Cooper-pair pumps based on superconducting devices. Applied to a
Cooper-pair sluice, we find an intriguing dissipation-induced enhancement of
charge pumping, reversals of current, and emergence of asymmetries. This
geometric method thus enables one to unveil a plethora of beneficial,
dissipation-assisted operation protocols.
