%!TEX root = ../article.tex

\title{\hspace{-0.95cm}Knot polynomial identities and quantum group coincidences}

\newcommand{\Primaryclass}[1]{\primaryclass{#1}}
\newcommand{\Secondaryclass}[1]{\secondaryclass{#1}}
\newcommand{\Keywords}[1]{\keywords{#1}}
\newcommand{\Author}[2]{\author{#1}\email{#2}}

\author{Scott~Morrison}\email{scott@tqft.net}
\author{Emily~Peters}\email{eep@euclid.unh.edu}
\author{Noah~Snyder}\email{nsnyder@math.columbia.edu}

\address{%
\rm URLs:\stdspace \tt \url{http://tqft.net/}\ \
\url{http://euclid.unh.edu/~eep}\\\rm and \tt
\url{http://math.columbia.edu/~nsnyder}}


\Primaryclass{
	%18 %Category theory; homological algebra
	%18D %Categories with structure
	18D10 %Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]	
}
\Secondaryclass{
	57M27 %Invariants of knots and 3-manifolds 
	%17 %Nonassociative rings and algebras
	%17B %Lie algebras and Lie superalgebras [For Lie groups, see 22Exx]
	17B10 %Representations, algebraic theory (weights)
	%81 %Quantum theory
	%81R %Groups and algebras in quantum theory
	81R05 %Finite-dimensional groups and algebras motivated by physics and their representations [See also 20C35, 22E70]
	%57 %Manifolds and cell complexes [For complex manifolds, see 32Qxx]
	%57R %Differential topology [For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx]
	57R56 %Topological quantum field theories
}
\Keywords{
  Planar Algebras, Quantum Groups, Fusion Categories, Knot Theory, Link Invariants
}