• Corpus ID: 115167973

Extended TQFT's and Quantum Gravity

  title={Extended TQFT's and Quantum Gravity},
  author={Jeffrey Colin Morton},
  journal={arXiv: Quantum Algebra},
  • J. Morton
  • Published 29 September 2007
  • Mathematics
  • arXiv: Quantum Algebra
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… 

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