  We explore scenarios where top quarks may be produced singly in association
with missing energy, a very distinctive signature, which in analogy with
monojets, we dub monotops. We find that monotops can be produced in a variety
of modes, typically characterized by baryon number violating or flavor changing
neutral interactions. We build a simplified model that encompasses all the
possible (tree-level) production mechanisms and study the LHC sensitiveness to
a few representative scenarios by considering fully hadronic top decays. We
find that constraints on such exotic models can already be set with one inverse
femtobarn of integrated luminosity collected at seven TeV.
