  We analyze Hawking evaporation of the Callen-Giddings-Harvey-Strominger
(CGHS) black holes from a quantum geometry perspective and show that
information is not lost, primarily because the quantum space-time is
sufficiently larger than the classical. Using suitable approximations to
extract physics from quantum space-times we establish that: i)future null
infinity of the quantum space-time is sufficiently long for the the past vacuum
to evolve to a pure state in the future; ii) this state has a finite norm in
the future Fock space; and iii) all the information comes out at future
infinity; there are no remnants.
