\documentclass[10pt,notitlepage]{article}
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\usepackage[setpagesize=false]{hyperref}
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\usepackage[usenames,dvipsnames]{xcolor}
% Following http://tex.stackexchange.com/a/847/22475:
\usepackage[setpagesize=false]{hyperref}\hypersetup{colorlinks,
  linkcolor={blue!50!black},
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}

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\paperheight 11in
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\def\blue{\color{blue}}
\def\red{\color{red}}

\newcommand{\ad}{\operatorname{ad}}
\newcommand{\Fun}{\operatorname{Fun}}
\newcommand{\gr}{\operatorname{gr}}
\newcommand{\im}{\operatorname{im}}
\newcommand{\tr}{\operatorname{tr}}

\def\bbQ{{\mathbb Q}}
\def\bbR{{\mathbb R}}
\def\calA{{\mathcal A}}
\def\calI{{\mathcal I}}
\def\calK{{\mathcal K}}
\def\calR{{\mathcal R}}
\def\frakg{{\mathfrak g}}

\def\navigator{{Dror Bar-Natan: Talks: Louvain-1506:}}

\def\w#1{{\href{http://www.math.toronto.edu/drorbn/Talks/Louvain-1506/#1}{$\omega$/#1}}}
\def\webdef{{$\omega:=$\url{http://www.math.toronto.edu/~drorbn/Talks/Louvain-1506}}}
\def\webnote{{Handout, video, and links at \w{}}}

\def\claim{{\raisebox{2mm}{\parbox[t]{4.15in}{
{\red Claim.} With $\Phi\coloneqq Z(\tetrahedron)$, the above relation becomes equivalent to the
Drinfel'd's pentagon of the theory of quasi Hopf algebras.  
}}}}

\def\PhiInA{{$\displaystyle \coloneqq\Phi\in{\mathcal A}(\uparrow_3)$}}
\def\ThreeSide{{$\displaystyle
    = (\Phi\otimes 1)(1\otimes\Delta\otimes 1)(\Phi)(1\otimes\Phi)
  \in {\mathcal A}(\uparrow_4)
$}}
\def\TwoSide{{$\displaystyle
  = (\Delta\otimes 1\otimes 1)(\Phi)(1\otimes 1\otimes\Delta)(\Phi)
  \in {\mathcal A}(\uparrow_4)
$}}

\def\ribbon{{$\displaystyle
  \calR\sim\{u\gamma\colon\gamma\in\calK(\dumbbell),\ d\gamma=U_2\}
$}}

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\null\vfill
\null\hspace{0.25in}\input{Louvain4.pstex_t}
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