I got this e-mail back from support:
Thank you for contacting the Square Enix Support Centre.
We are very sorry to hear that you are having issues with Hitman: Absolution.
Unfortunately, if a save is corrupt, there will be no way to recover your current progress.
However, in order to avoid such occurrances in the future, please try clearing the game data utility before starting the game again.
We apologise for the inconvenience.
The Square Enix Support Centre team
Dear Enix, it's not the
*** save that's corrupt! it's the game who's making it crash!
Better patch this!