  We consider a smooth fibration equipped with a flat complex vector bundle and
a hypersurface cutting the fibration into two pieces. Our main result is a
gluing formula relating the Bismut-Lott analytic torsion form of the whole
fibration to that of each piece. This result confirms a conjecture proposed in
a conference in Goettingen in 2003. Our approach combines an adiabatic limit
along the normal direction of the hypersurface and a Witten type deformation on
the flat vector bundle. Due to disagreement among authors, author Zhang
unilaterally decides to never publish this paper. If you saw this paper
published somewhere, it must be without Zhang's approvement.
