| Résume | For a punctured surface there are two quantizations of
the SLn character variety. The first quantization is
the SLn skein algebra, and the second one is the
quantization of the higher Teichmüller space. When n=2
Bonahon and Wong showed that there is an algebra homomorphism, called
the quantum trace, from the first quantized algebra to the second
one. We show for general n a similar quantum trace map exists.
The construction of the SLn quantum trace is based
on the theory of stated SLn skein algebra, developed
in a joint work with A. Sikora. The construction of the quantum trace
is a joint work with T. Yu. |
