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40 |
41 Let $\cM_k$ denote the category with objects |
41 Let $\cM_k$ denote the category with objects |
42 unoriented PL manifolds of dimension |
42 unoriented PL manifolds of dimension |
43 $k$ and morphisms homeomorphisms. |
43 $k$ and morphisms homeomorphisms. |
44 (We could equally well work with a different category of manifolds --- |
44 (We could equally well work with a different category of manifolds --- |
45 oriented, topological, smooth, spin, etc. --- but for simplicity we |
45 oriented, smooth, spin, etc. --- but for simplicity we |
46 will stick with unoriented PL.) |
46 will stick with unoriented PL.) |
47 |
47 |
48 Fix a symmetric monoidal category $\cS$. |
48 Fix a symmetric monoidal category $\cS$. |
49 Fields on $n$-manifolds will be enriched over $\cS$. |
49 Fields on $n$-manifolds will be enriched over $\cS$. |
50 Good examples to keep in mind are $\cS = \Set$ or $\cS = \Vect$. |
50 Good examples to keep in mind are $\cS = \Set$ or $\cS = \Vect$. |