Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
  A generalized teleparallel cosmological model, $f(T_\mathcal{G},T)$,
containing the torsion scalar $T$ and the teleparallel counterpart of the
Gauss-Bonnet topological invariant $T_{\mathcal{G}}$, is studied in the
framework of the Noether Symmetry Approach. As $f(\mathcal{G}, R)$ gravity,
where $\mathcal{G}$ is the Gauss-Bonnet topological invariant and $R$ is the
Ricci curvature scalar, exhausts all the curvature information that one can
construct from the Riemann tensor, in the same way, $f(T_\mathcal{G},T)$
contains all the possible information directly related to the torsion tensor.
In this paper, we discuss how the Noether Symmetry Approach allows to fix the
form of the function $f(T_\mathcal{G},T)$ and to derive exact cosmological
solutions.
