 Award ID(s):
 1811114
 Publication Date:
 NSFPAR ID:
 10322656
 Journal Name:
 Transactions of the American Mathematical Society, Series B
 Volume:
 8
 Issue:
 18
 ISSN:
 23300000
 Sponsoring Org:
 National Science Foundation
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We show how the quantum trace map of Bonahon and Wong can be constructed in a natural way using the skein algebra of Muller, which is an extension of the Kauffman bracket skein algebra of surfaces. We also show that the quantum Teichmüller space of a marked surface, defined by Chekhov–Fock (and Kashaev) in an abstract way, can be realized as a concrete subalgebra of the skew field of the skein algebra.

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