Reference request for TQFT, functoriality - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T00:56:57Z http://mathoverflow.net/feeds/question/89930 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/89930/reference-request-for-tqft-functoriality Reference request for TQFT, functoriality Link 2012-03-01T06:33:48Z 2012-03-01T06:50:26Z <p>I am reading Turaev's blue book Quantum Invariants of Knots and 3-manifolds.</p> <p>It is difficult for me to understand the proof of Theorem 1.9 in chapter 4, which says;</p> <p>The function $(M, \partial_{-}M, \partial_{+}M) \mapsto \tau(M): T(\partial_{-}M) \to T(\partial_{+}M)$ extends the modular functor $T$ to a non-degenerate topological quantum field theory.</p> <p>The proof of the functoriality is unclear for me. I tried to look at Turaev's papers but its harder to understand. Also I don't understand the proof of computation of annomalies (Theorem 4.3 on chapter 4). The method of the proof seems to extend the method of the proof of functoriality to 4-manifolds.</p> <p>Could you suggest me a textbook or paper etc that explain these theorems or similar material?</p> <p>Or could you show me more detailed proof of functoriality (and the computation of anomalies) here?</p>