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Published online: 2010-08-19
Sections of fiber bundles over surfaces and TQFTsVladimir Turaev (1) Indiana University, Bloomington
We study the existence problem and the enumeration problem for sections of Serre fibrations over compact orientable surfaces. When the fundamental group of the fiber is finite, a complete solution is given in terms of 2-dimensional cohomology classes associated with certain irreducible representations of this group. The proofs are based on Topological Quantum Field Theory.
Keywords: Surfaces, fibrations, sections, topological quantum field theory
Turaev Vladimir: Sections of fiber bundles over surfaces and TQFTs. Quantum Topol. 1 (2010), 275-319. doi: 10.4171/QT/7