Corpus ID: 118069135

Categorical Aspects of Topological Quantum Field Theories

  title={Categorical Aspects of Topological Quantum Field Theories},
  author={Bruce Henry Bartlett},
  • Bruce Henry Bartlett
  • Published 2005
  • Mathematics
  • This thesis provides an introduction to the various category theory ideas employed in topological quantum field theory. These theories are viewed as symmetric monoidal functors from topological cobordism categories into the category of vector spaces. In two dimensions, they are classified by Frobenius algebras. In three dimensions, and under certain conditions, they are classified by modular categories. These are special kinds of categories in which topological notions such as braidings and… CONTINUE READING