\relax 
\immediate\closeout\minitoc
\let \MiniTOC =N
\citation{FG2}
\citation{BFZ}
\citation{FG2}
\@writefile{toc}{\contentsline {title}{Cluster ensembles, quantization and the dilogarithm II: The intertwiner.}{649}}
\@writefile{toc}{\contentsline {author}{V.V.Fock\unskip {}\and A.B.Goncharov\unskip {}}{649}}
\citation{FG3}
\citation{FG3}
\citation{FG3}
\@writefile{toc}{\contentsline {section}{\numberline {1}Cluster ensembles}{651}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Basic definitions}{651}}
\newlabel{f1}{{1}{651}}
\newlabel{f2}{{2}{651}}
\newlabel{f3}{{3}{651}}
\citation{FG2}
\citation{FG3}
\newlabel{f3cc}{{4}{652}}
\newlabel{6.4.03.2}{{5}{653}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Connections between quantum ${\cal  X}$-varieties}{653}}
\newlabel{6.9.03.11}{{1}{653}}
\newlabel{6.9.03.11s}{{2}{654}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Motivation: $\ast $-quantization of cluster ${\cal  X}$-varieties}{655}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}$\ast $-quantization of the space ${\cal  X}^+$ via the quantum logarithm}{655}}
\newlabel{5.24.03.1as}{{6}{655}}
\newlabel{6.3.03.10}{{3}{655}}
\citation{FG2}
\newlabel{6.1.03.2}{{7}{656}}
\newlabel{6.1.03.1}{{8}{656}}
\newlabel{3.13.03.1}{{2.1}{656}}
\newlabel{6.3.03.1}{{9}{656}}
\newlabel{6.4.03.10}{{4}{656}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Modular double of a cluster ${\cal  X}$-variety and $\ast $-quantization of the space ${\cal  X}^+$}{657}}
\newlabel{6.2.03.3}{{5}{657}}
\newlabel{6.2.03.1}{{10}{657}}
\newlabel{erer}{{6}{658}}
\newlabel{11.12.03.323}{{2.2}{658}}
\newlabel{6.2.03.4}{{11}{658}}
\newlabel{11.12.03.1}{{7}{658}}
\@writefile{toc}{\contentsline {section}{\numberline {3}The intertwiner}{659}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}A bimodule structure on functions on the ${\cal  A}$--space}{659}}
\newlabel{5.29.03.2}{{12}{659}}
\newlabel{5.29.03.1}{{8}{660}}
\newlabel{5.29.03.5}{{9}{660}}
\citation{FG3}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}The intertwiner via the quantum dilogarithm }{661}}
\newlabel{11.13.03.2}{{13}{661}}
\newlabel{11.13.03.1}{{14}{661}}
\newlabel{convolution}{{15}{661}}
\newlabel{11.11.03.76}{{10}{661}}
\newlabel{12.9.03.10}{{16}{662}}
\newlabel{homomorphism}{{17}{662}}
\newlabel{homomorphism_k}{{18}{662}}
\newlabel{11.30.03.1}{{19}{663}}
\newlabel{12.1.03.2}{{20}{664}}
\newlabel{12.1.03.1}{{21}{664}}
\citation{FG3}
\citation{FG3}
\newlabel{11.30.03.2}{{11}{665}}
\@writefile{toc}{\contentsline {section}{\numberline {4}The quantum logarithm and dilogarithm functions}{665}}
\newlabel{phi}{{22}{665}}
\citation{Ba}
\citation{Bax}
\citation{Fad}
\bibcite{Ba}{Ba}
\newlabel{5.31.03.1}{{12}{666}}
\newlabel{qdilog}{{13}{666}}
\bibcite{Bax}{Bax}
\bibcite{BFZ}{BFZ}
\bibcite{Fad}{Fad}
\bibcite{FCh}{FCh}
\bibcite{FG1}{FG1}
\bibcite{FG2}{FG2}
\bibcite{FG3}{FG3}
\bibcite{FZI}{FZI}
\bibcite{K}{K}
\@writefile{toc}{\contentsline {section}{References}{667}}
\@mtwritefile{\contentsline {mtchap}{References}{667}}
\immediate\closeout\minitoc