  In this note we announce several results concerning the SL(2,C) character
variety ${\mathcal X}$ of the one-holed torus. We give a description of the
largest open subset ${\mathcal X}_{BQ}$ of ${\mathcal X}$ on which the mapping
class group $\Gamma$ acts properly discontinuously, in terms of two very simple
conditions, and show that a series identity generalizing McShane's identity for
the punctured torus holds for all characters in this subset. We also give
variations of the McShane-Bowditch identities to characters fixed by an Anosov
element of $\Gamma$ with applications to closed hyperbolic three manifolds.
Finally we give a definition of end invariants for SL(2,C) characters and give
a partial classification of the set of end invariants of a character in
${\mathcal X}$.
