326 \label{property:deligne} |
326 \label{property:deligne} |
327 The singular chains of the $n$-dimensional fat graph operad act on blob cochains. |
327 The singular chains of the $n$-dimensional fat graph operad act on blob cochains. |
328 \end{property} |
328 \end{property} |
329 See \S \ref{sec:deligne} for an explanation of the terms appearing here. The proof will appear elsewhere. |
329 See \S \ref{sec:deligne} for an explanation of the terms appearing here. The proof will appear elsewhere. |
330 |
330 |
331 Properties \ref{property:functoriality}, \ref{property:gluing-map} and \ref{property:skein-modules} will be immediate from the definition given in |
331 Properties \ref{property:functoriality} and \ref{property:skein-modules} will be immediate from the definition given in |
332 \S \ref{sec:blob-definition}, and we'll recall them at the appropriate points there. \todo{Make sure this gets done.} |
332 \S \ref{sec:blob-definition}, and we'll recall them at the appropriate points there. |
333 Properties \ref{property:disjoint-union} and \ref{property:contractibility} are established in \S \ref{sec:basic-properties}. |
333 Properties \ref{property:disjoint-union}, \ref{property:gluing-map} and \ref{property:contractibility} are established in \S \ref{sec:basic-properties}. |
334 Property \ref{property:hochschild} is established in \S \ref{sec:hochschild}, Property \ref{property:evaluation} in \S \ref{sec:evaluation}, Property \ref{property:blobs-ainfty} as Example \ref{ex:blob-complexes-of-balls} in \S \ref{sec:ncats}, |
334 Property \ref{property:hochschild} is established in \S \ref{sec:hochschild}, Property \ref{property:evaluation} in \S \ref{sec:evaluation}, Property \ref{property:blobs-ainfty} as Example \ref{ex:blob-complexes-of-balls} in \S \ref{sec:ncats}, |
335 and Properties \ref{property:product} and \ref{property:gluing} in \S \ref{sec:ainfblob} as consequences of Theorem \ref{product_thm}. |
335 and Properties \ref{property:product} and \ref{property:gluing} in \S \ref{sec:ainfblob} as consequences of Theorem \ref{product_thm}. |
336 |
336 |
337 \subsection{Future directions} |
337 \subsection{Future directions} |
338 \label{sec:future} |
338 \label{sec:future} |