On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups

On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups

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by João Faria Martins , Timothy Porter

Venue:	Theory Appl. Categ
Citations:	5 - 0 self

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@ARTICLE{Martins_onyetter’s,
    author = {João Faria Martins and Timothy Porter},
    title = {On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups},
    journal = {Theory Appl. Categ},
    year = {},
    pages = {118--150}
}

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Abstract

We give an interpretation of Yetter’s Invariant of manifolds M in terms of the homotopy type of the function space TOP(M,B(G)), where G is a crossed module and B(G) is its classifying space. From this formulation, there follows that Yetter’s invariant depends only on the homotopy type of M, and the weak homotopy type of the crossed module G. We use this interpretation to define a twisting of Yetter’s Invariant by cohomology classes of crossed modules, defined

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