224 

   224 We then review some basic properties of the blob complex, and finish by showing how it

   225 \nn{In many places we omit details; they can be found in MW.

   225 yields a higher categorical and higher dimensional generalization of Deligne's

   226 (Blanket statement in order to avoid too many citations to MW.)}

   226 conjecture on Hochschild cochains and the little 2-disks operad.

   227 

   227 

   228 \nn{perhaps say something explicit about the relationship of this paper to big blob paper.

   228 \nn{maybe this is not necessary?}

   229 like: in this paper we try to give a clear view of the big picture without getting bogged down in details}

   229 In an attempt to forestall any confusion that might arise from different definitions of 

   230 

   230 ``$n$-category" and ``TQFT", we note that our $n$-categories are both more and less general

   231 \nn{diff w/ lurie}

   231 than the ``fully dualizable" ones which play a prominent role in \cite{0905.0465}.

   232 More general in that we make no duality assumptions in the top dimension $n+1$.

   233 Less general in that we impose stronger duality requirements in dimensions 0 through $n$.

   234 Thus our $n$-categories correspond to $(n{+}\epsilon)$-dimensional unoriented or oriented TQFTs, while

   235 Lurie's (fully dualizable) $n$-categories correspond to $(n{+}1)$-dimensional framed TQFTs.

   236 

   237 Details missing from this paper can usually be found in \cite{1009.5025}.

   238 

   239 %\nn{In many places we omit details; they can be found in MW.

   240 %(Blanket statement in order to avoid too many citations to MW.)}

   241 %

   242 %\nn{perhaps say something explicit about the relationship of this paper to big blob paper.

   243 %like: in this paper we try to give a clear view of the big picture without getting bogged down in details}

   244