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Three-Dimensional 2-Framed TQFTs and Surgery

Stephen Sawin
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Abstract

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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Stephen Sawin. 1999-12-08. Three-Dimensional 2-Framed TQFTs and Surgery. https://arxiv.org/abs/math/9912065

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