A survey of quantum Teichm\"uller space and Kashaev algebra
Ren Guo
TL;DR
This survey explores the algebraic structures of quantum Teichmüller space and Kashaev algebra, highlighting their interconnections and recent developments in the field.
Contribution
It provides a comprehensive overview of the algebraic properties and relationships between quantum Teichmüller space and Kashaev algebra.
Findings
Identifies key algebraic features of quantum Teichmüller space.
Describes the relationship between quantum Teichmüller space and Kashaev algebra.
Summarizes recent advances in the algebraic understanding of these structures.
Abstract
In this chapter, we survey the algebraic aspects of quantum Teichm\"uller space, generalized Kashaev algebra and a natural relationship between the two algebras.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons