  We obtain the Hamiltonian formulation of the 11D Supermembrane theory
non-trivially compactified on a twice-punctured torus times a 9D Minkowski
space-time. It corresponds to a M2-brane formulated in 11D space with ten
non-compact dimensions. The critical points like the poles and the zeros of the
fields describing the embedding of the Supermembrane in the target space are
treated rigorously. The non-trivial compactification generates non-trivial mass
terms appearing in the bosonic potential, which dominate the full
supersymmetric potential and should render the spectrum of the (regularized)
Supermembrane discrete with finite multiplicity. The behaviour of the fields
around the punctures generates a cosmological term in the Hamiltonian of the
theory.
  The massive supermembrane can also be seen as a nontrivial uplift of a
supermembrane torus bundle with parabolic monodromy in $M_9\times T^2$. The
moduli of the theory is the one associated with the punctured torus, hence it
keeps all the nontriviality of the torus moduli even after the
decompactification process to ten noncompact dimensions. The formulation of the
theory on a punctured torus bundle is characterized by the $(1,1)-Knots$
associated with the monodromies.
