  Given a Heegaard splitting of a closed 3-manifold, the skein modules of the
two handlebodies are modules over the skein algebra of their common boundary
surface. The zeroth Hochschild homology of the skein algebra of a surface with
coefficients in the tensor product of the skein modules of two handlebodies is
interpreted as the skein module of the 3-manifold obtained by gluing the two
handlebodies together along this surface. A spectral sequence associated to the
Hochschild complex is constructed and conditions are given for the existence of
algebraic torsion in the skein module of this 3-manifold.
