  Since spectral invariants were introduced in cotangent bundles via generating
functions by Viterbo in the seminal paper "Symplectic topology as the geometry
of generating functions," they have been defined in various contexts, mainly
via Floer homology theories, and then used in a great variety of applications.
  In this paper we extend their definition to monotone Lagrangians, which is so
far the most general case for which a "classical" Floer theory has been
developed.
  Then, we gather and prove the properties satisfied by these invariants, and
which are crucial for their applications.
  Finally, as a demonstration, we apply these new invariants to symplectic
rigidity of some specific monotone Lagrangians.
