equal
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4 \label{sec:hochschild} |
4 \label{sec:hochschild} |
5 |
5 |
6 In this section we analyze the blob complex in dimension $n=1$ |
6 In this section we analyze the blob complex in dimension $n=1$ |
7 and find that for $S^1$ the blob complex is homotopy equivalent to the |
7 and find that for $S^1$ the blob complex is homotopy equivalent to the |
8 Hochschild complex of the category (algebroid) that we started with. |
8 Hochschild complex of the category (algebroid) that we started with. |
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9 |
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10 \nn{initial idea for blob complex came from thinking about...} |
9 |
11 |
10 \nn{need to be consistent about quasi-isomorphic versus homotopy equivalent |
12 \nn{need to be consistent about quasi-isomorphic versus homotopy equivalent |
11 in this section. |
13 in this section. |
12 since the various complexes are free, q.i. implies h.e.} |
14 since the various complexes are free, q.i. implies h.e.} |
13 |
15 |