\title{Skein theory for the $D_{2n}$ planar algebras}

\author{Scott~Morrison}
\address{
   Microsoft Station Q, University of California, Santa Barbara 93106-6105
}%
\email{scott@tqft.net}

\author{Emily~Peters\thanks{Supported in part by NSF Grant DMS0401734}
}
\address{
   Department of Mathematics,
   University of California, Berkeley, 94720
}%
\email{eep@math.berkeley.edu}


\author{Noah~Snyder\thanks{Supported in part by RTG grant DMS-0354321}
}
\address{
   Department of Mathematics,
   University of California, Berkeley, 94720
}%
\email{nsnyder@math.berkeley.edu}
\urladdr{\url{http://tqft.net/} \url{http://math.berkeley.edu/~eep} \url{http://math.berkeley.edu/~nsnyder}}

\date{
  First edition: August 6 2008
}

\primaryclass{46L37} \secondaryclass{57M15 46M99} \keywords{
  Planar Algebras, Subfactors, Skein Theory
}
