equal
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inserted
replaced
212 \end{thm} |
212 \end{thm} |
213 |
213 |
214 The ``up to coherent homotopy" in the statement is due to the fact that the isomorphisms of |
214 The ``up to coherent homotopy" in the statement is due to the fact that the isomorphisms of |
215 \ref{lem:bc-btc} and \ref{thm:gluing} are only defined up to a contractible set of homotopies. |
215 \ref{lem:bc-btc} and \ref{thm:gluing} are only defined up to a contractible set of homotopies. |
216 |
216 |
217 If, in analogy to Hochschild cochains, we define elements of $\hom(M, N)$ |
217 If, in analogy to Hochschild cochains, we define elements of $\hom(\bc_*(M), \bc_*(N))$ |
218 to be ``blob cochains", we can summarize the above proposition by saying that the $n$-SC operad acts on |
218 to be ``blob cochains", we can summarize the above proposition by saying that the $n$-SC operad acts on |
219 blob cochains. |
219 blob cochains. |
220 As noted above, the $n$-SC operad contains the little $n{+}1$-balls operad, so this constitutes |
220 As noted above, the $n$-SC operad contains the little $n{+}1$-balls operad, so this constitutes |
221 a higher dimensional version of the Deligne conjecture for Hochschild cochains and the little 2-disks operad. |
221 a higher dimensional version of the Deligne conjecture for Hochschild cochains and the little 2-disks operad. |
222 |
222 |