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cobordism

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functorial quantum field theory

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Idea

A manifold with boundary is a cobordism between its boundary components. But each component must be designated as a source or target component, so the entire cobordism may be seen as a morphism from a source manifold to a target manifold.

Dual to a cobordism is a bordism?.

See extended cobordism and cobordism category for more.

Revised on September 22, 2009 10:51:19 by Urs Schreiber (195.37.209.182)
Edit | Back in time (6 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: physics, conformal field theory, quantum field theory, FQFT, vertex operator algebra, span, geometry, topology, generalized tangle hypothesis, co-span, (infinity,n)-category of cobordisms, span trace, co-span co-trace, extended cobordism, cobordism, trace, 2-vector space, 2009 January changes, dagger-category, 2009 February changes, geometric infinity-function theory, sigma-model, exercise in groupoidification - the path integral, Quantization as a Kan Extension, On the Classification of Topological Field Theories, cobordism hypothesis, QFT with defects, HQFT, cobordism category, extended topological quantum field theory, formal group, bordism categories following Stolz-Teichner, functorial quantum field theory - contents, Axiomatic field theories and their motivation from topology, (1,1)-dimensional Euclidean field theories and K-theory, geometric model for elliptic cohomology, (2,1)-dimensional Euclidean field theories and tmf, partition function, Riemannian cobordism, (2,1)-dimensional Euclidean field theory, super-cobordism, modular forms from partition functions, classical field theory, quantum mechanics, UC Riverside Seminar on Cobordism and Topological Field Theories, multisymplectic geometry, 0-dimensional TQFT, Topological Quantum Field Theories from Compact Lie Groups