  We introduce a pseudo entropy extension of topological entanglement entropy
called topological pseudo entropy. Various examples of the topological pseudo
entropies are examined in three-dimensional Chern-Simons gauge theory with
Wilson loop insertions. Partition functions with knotted Wilson loops are
directly related to topological pseudo (R\'enyi) entropies. We also show that
the pseudo entropy in a certain setup is equivalent to the interface entropy in
two-dimensional conformal field theories (CFTs), and leverage the equivalence
to calculate the pseudo entropies in particular examples. Furthermore, we
define a pseudo entropy extension of the left-right entanglement entropy in
two-dimensional boundary CFTs and derive a universal formula for a pair of
arbitrary boundary states. As a byproduct, we find that the topological
interface entropy for rational CFTs has a contribution identical to the
topological entanglement entropy on a torus.
