Can Space Manifolds be used to send probes to other planets more effectively
than current gravity-assist methods?

Accessing the arches of chaos in the solar system for fast transport

"In a new report now published on Science Advances, Nataša Todorović
and a team of researchers in Serbia and the U.S. revealed a notable and
unexpected ornamental structure of manifolds in the solar system. This
architecture was connected in a series of arches spreading from the
asteroid belt to Uranus and beyond. The strongest manifolds were found
linked to Jupiter with profound control on small bodies across a wide and
previously unknown range of three-body energies. The orbits of these
manifolds encountered Jupiter on rapid time-scales to transform into
collisional or escaping trajectories to reach Neptune's distance merely
within a decade. In this way, much like a celestial highway, all planets
generate similar manifolds across the solar system for fast transport
throughout."

See:

https://phys.org/news/2020-12-access...olar-fast.html