Three-Dimensional 2-Framed TQFTs and Surgery

Details Three-Dimensional 2-Framed TQFTs and Surgery Three-Dimensional 2-Framed TQFTs and Surgery

1999-12-08

arxiv.org/abs/math/9912065v1

J.Knot Theor.Ramifications 13 (2004) 947

Mathematics

Quantum Algebra

19 pages, 9 figures using epsfig

Scientific paper

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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