This is the second in a series of papers where we construct
an invariant of a four-dimensional piecewise linear manifold M with
a given middle cohomology class h ∈ H 2 (M, C). This invariant is the
square root of the torsion of unusual chain complex introduced in Part I
of our work, multiplied by a correcting factor. Here we find this factor
by studying the behavior of our construction under all four-dimensional
Pachner moves, and show that it can be represented in a multiplicative
form: a product of same-type multipliers over all 2-faces, multiplied by
a product of same-type multipliers over all pentachora.

EB00000004464K

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• Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves