I am interested in topological quantum field theory (TQFT). It seems that there are many types of TQFTs. The first book I pick up is "Quantum invariants of knots and 3-manifolds" by Turaev. But it doesn't say which type of TQFT are dealt in the book. I found at least two TQFTs which contain Turaev's name, namely Turaev-Viro and Turaev-Reshetikhin TQFT. I have searched the definitions of various TQFTs for few days but I couldn't find good resources.
I would like to know
- which type of TQFT is dealt in Turaev's book.
- good resources for definitions of various TQFTs (or if it is not difficult to answer here, please give me definitions.)
- whether they are esentially different objects or some are generalizations of the others.
Review of a recent Turaev book at http://www.ams.org/journals/bull/2012-49-02/S0273-0979-2011-01351-9/ also discussing earlier volumes to some extent.
Here we go, the book you ask about: http://www.ams.org/journals/bull/1996-33-01/S0273-0979-96-00621-0/home.html