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arxiv: hep-th/0610326 · v3 · submitted 2006-10-31 · ✦ hep-th · math.AT· math.QA

Notes on simplicial BF theory

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keywords theorysimplicialdiscussfieldfieldsmanifoldprogramspace
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In this work we discuss the construction of "simplicial BF theory", the field theory with finite-dimensional space of fields, associated to a triangulated manifold, that is in a sense equivalent to topological BF theory on the manifold (with infinite-dimensional space of fields). This is done in framework of simplicial program - program of constructing discrete topological field theories. We also discuss the relation of these constructions to homotopy algebra.

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