  We study geometric energy transport in a slowly driven single-level quantum
dot weakly coupled to electronic contacts and with strong onsite interaction,
which can be either repulsive or attractive. Exploiting a recently discovered
fermionic duality for the evolution operator of the master equation, we provide
compact and insightful analytic expressions of energy pumping curvatures for
any pair of driving parameters. This enables us to systematically identify and
explain the pumping mechanisms for different driving schemes, thereby also
comparing energy and charge pumping. We determine the concrete impact of
many-body interactions and show how particle-hole symmetry and fermionic
duality manifest, both individually and in combination, as system-parameter
symmetries of the energy pumping curvatures. Building on this transport
analysis, we study the driven dot acting as a heat pump or refrigerator, where
we find that the sign of the onsite interaction plays a crucial role in the
performance of these thermal machines.
