  A translated point of a contactomorphism $\phi$ on a contact manifold with
contact form $\alpha$ is a point $p$ where $\alpha$ is preserved under $\phi$
and whose image under $\phi$ lies in the same Reeb trajectory. They were
introduced as a contact analogon for fixed points of Hamiltonian
diffeomorphisms by Sheila Sandon and can be understood as a special case of
leafwise fixed points. She established a contact version of the non-degenerate
Arnol'd conjecture on spheres using a generating function approach. It turns
out that Sandon's proof only works under the assumption that there exists a
generating function whose sublevel set at zero has nontrivial homology. This
master's thesis proves the result under this additional assumption and fills
minor gaps in other parts of Sandon's argument.
