Schwarz Type Topological Quantum Field Theories

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Topological quantum field theories can be used to probe topological properties of low dimensional manifolds. A class of these theories known as Schwarz type theories, comprise of Chern-Simons theories and BF theories. In three dimensions both capture the properties of knots and links leading to invariants characterising them. These can also be used to construct three-manifold invariants. Three dimensional gravity is described by these field theories. BF theories exist also in higher dimensions. In four dimensions, these describe two-dimensional generalization of knots as well as Donaldson invariants.
20 pages, Prepared for Encyclopedia of Mathematical Physics, paragraph added minor corrections and few references added

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/53100

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0504100
 http://arxiv.org/abs/hep-th/0504100

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arXiv