Homotopy quantum field theories and the homotopy cobordism category in dimension 1+1

Homotopy quantum field theories and the homotopy cobordism category in dimension 1+1

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by Gonçalo Rodrigues

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@MISC{Rodrigues_homotopyquantum,
    author = {Gonçalo Rodrigues},
    title = {Homotopy quantum field theories and the homotopy cobordism category in dimension 1+1},
    year = {}
}

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Abstract

Abstract. We define Homotopy quantum field theories (HQFT) as Topological quantum field theories (TQFT) for manifolds endowed with extra structure in the form of a map into some background space X. We also build the category of homotopy cobordisms HCobord(n, X) such that an HQFT is a functor

Citations

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