# Frobenius Algebras and 2-D Topological Quantum Field Theories

@inproceedings{Kock2004FrobeniusAA, title={Frobenius Algebras and 2-D Topological Quantum Field Theories}, author={Joachim Kock}, year={2004} }

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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