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arxiv: math/9912065 · v1 · submitted 1999-12-08 · 🧮 math.QA · math.AT

Three-Dimensional 2-Framed TQFTs and Surgery

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keywords framedthree-dimensionalcategorydatarelationssurgerytqftcobordisms
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The notion of 2-framed three-manifolds is defined. The category of 2-framed cobordisms is described, and used to define a 2-framed three-dimensional TQFT. Using skeletonization and special features of this category, a small set of data and relations is given that suffice to construct a 2-framed three-dimensional TQFT. These data and relations are expressed in the language of surgery.

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