# Extended TQFT's and Quantum Gravity

@article{Morton2007ExtendedTA, title={Extended TQFT's and Quantum Gravity}, author={Jeffrey Colin Morton}, journal={arXiv: Quantum Algebra}, year={2007} }

This paper gives a definition of an extended topological quantum field theory (TQFT) as a weak 2-functor Z: nCob_2 -> 2Vect, by analogy with the description of a TQFT as a functor Z: nCob -> Vect. We also show how to obtain such a theory from any finite group G. This theory is related to a topological gauge theory, the Dijkgraaf-Witten model. To give this definition rigorously, we first define a bicategory of cobordisms between cobordisms. We also give some explicit description of a higher…

## 17 Citations

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