MAPPING CLASS GROUP AND U(1) CHERN–SIMONS THEORY ON CLOSED ORIENTABLE SURFACES

DOI10.1142/S0217732312500873zbMath1260.81227arXiv1103.2820OpenAlexW2069689510MaRDI QIDQ4913215

Si Chen

Publication date: 5 April 2013

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2820

zbMATH Keywords

quantizationChern-Simons theorymapping class groupholonomy grouplarge gauge transformation

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Eta-invariants, Chern-Simons invariants (58J28) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• A simple presentation for the mapping class group of an orientable surface
• Mapping class group actions in Chern-Simons theory with gauge group \(G \ltimes g^*\)
• Quantum field theory and the Jones polynomial
• Combinatorial quantization of the Hamiltonian Chern-Simons theory. I
• Abelian Chern–Simons theory. I. A topological quantum field theory
• On the relation between 2+1 Einstein gravity and Chern-Simons theory

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