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Quantum Topology

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Volume 1, Issue 3, 2010, pp. 275–319
DOI: 10.4171/QT/7

Published online: 2010-08-19

Sections of fiber bundles over surfaces and TQFTs

Vladimir Turaev[1]

(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