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- W2068999060 abstract "In this paper we define a class of state-sum invariants of closed oriented piece-wise linear 4-manifolds using finite groups. The defini- tion of these state-sums follows from the general abstract construction of 4-manifold invariants using spherical 2-categories, as we defined in an earlier paper. We show that the state-sum invariants of Birming- ham and Rakowski, who studied Dijkgraaf-Witten type invariants in dimension 4, are special examples of the general construction that we present in this paper. They showed that their invariants are non-trivial by some explicit computations, so our construction includes interest- ing examples already. Finally, we indicate how our construction is related to homotopy 3-types. This connection suggests that there are many more interesting examples of our construction to be found in the work on homotopy 3-types, by Brown, for example." @default.
- W2068999060 created "2016-06-24" @default.
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- W2068999060 date "2000-08-01" @default.
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- W2068999060 title "Finite Groups, Spherical 2-Categories, and 4-Manifold Invariants" @default.
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- W2068999060 doi "https://doi.org/10.1006/aima.1999.1909" @default.
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