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155 %% \begin{acknowledgements} |
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156 %% Section head commands for your reference: |
156 %% Section head commands for your reference: |
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161 \dropcap{T}he aim of this paper is to describe a derived category version of TQFTs. |
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163 For our purposes, an $n{+}1$-dimensional TQFT is a locally defined system of |
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164 invariants of manifolds of dimensions 0 through $n+1$. |
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161 \dropcap{T}opological quantum field theories (TQFTs) provide local invariants of manifolds, which are determined by the algebraic data of a higher category. |
167 \dropcap{T}opological quantum field theories (TQFTs) provide local invariants of manifolds, which are determined by the algebraic data of a higher category. |
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163 An $n+1$-dimensional TQFT $\cA$ associates a vector space $\cA(M)$ |
169 An $n+1$-dimensional TQFT $\cA$ associates a vector space $\cA(M)$ |
164 (or more generally, some object in a specified symmetric monoidal category) |
170 (or more generally, some object in a specified symmetric monoidal category) |