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Título: Topological Quantum Field Theories from Compact Lie Groups
Autores: Freed, Daniel
Hopkins, Michael J.
Lurie, Jacob Alexander
Teleman, Constantin
Fecha: 2012-12-06
2010
2012-12-06
Publicador: American Mathematical Society
Fuente: Ver documento
Tipo: Monograph or Book
Tema:
Descripción: It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also develop from different points of view an associated 4-dimensional invertible topological field theory which encodes the anomaly of Chern-Simons. Finite gauge groups are also revisited, and we describe a theory of "finite path integrals" as a general construction for a certain class of finite topological field theories. Topological pure gauge theories in lower dimension are presented as a warm-up.
Mathematics
Idioma: Inglés
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