Frobenius Algebras and 2-D Topological Quantum Field Theories

  title={Frobenius Algebras and 2-D Topological Quantum Field Theories},
  author={Joachim Kock},
This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how… 

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  • R. BrauerC. Nesbitt
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1937
Introduction.! As this paper is the expression of my work as a student under Prof. R. Brauer, I wish at the outset to acknowledge my deep indebtedness to my former teacher. For an associative algebra

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