2-dimensional Topological Quantum Field Theories and Frobenius Algebras
نویسنده
چکیده
Category theory provides a more abstract and thus more general setting for considering the structure of mathematical objects. 2-dimensional quantum field theories arise in physics as objects that assign vector spaces to 1-manifolds and linear maps to 2-cobordisms. From a categorical perspective, we find that they are the same as commutative Frobenius algebras. Our main goal is to explain this equivalence between the category of 2-dimensional toplological quantum field theories and the category of commutative Frobenius algebras.
منابع مشابه
Two-dimensional Topological Quantum Field Theories and Frobenius Algebras
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