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42 In other words, fields for $K_*(M)$ have an element of $M$ at the fixed point $*$ |
42 In other words, fields for $K_*(M)$ have an element of $M$ at the fixed point $*$ |
43 and elements of $C$ at variable other points. |
43 and elements of $C$ at variable other points. |
44 |
44 |
45 |
45 |
46 We claim that |
46 We claim that |
47 \begin{thm} |
47 \begin{thm} \label{hochthm} |
48 The blob complex $\bc_*(S^1; C)$ on the circle is quasi-isomorphic to the |
48 The blob complex $\bc_*(S^1; C)$ on the circle is quasi-isomorphic to the |
49 usual Hochschild complex for $C$. |
49 usual Hochschild complex for $C$. |
50 \end{thm} |
50 \end{thm} |
51 |
51 |
52 This follows from two results. First, we see that |
52 This follows from two results. First, we see that |