S.S.Anisov and S.K.Lando

Topological complexity of $T^2$-bundles over the circle

This work is an attempt to apply Kazaryan's
method of ``computing the singularities'' (see \cite{2--4}) for
bundles with fibers of dimension greater than $1$. For the simplest
multidimensional case, we obtain a result similar to Kazaryan's
(Theorem~1). We also give an explicit expression of the complexity
$c(A)$ in terms of the denominators of a certain continued fraction
(Theorem 2).