JournalsqtVol. 1, No. 3pp. 275–319

Sections of fiber bundles over surfaces and TQFTs

  • Vladimir Turaev

    Indiana University, Bloomington
Sections of fiber bundles over surfaces and TQFTs cover
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Abstract

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.

Cite this article

Vladimir Turaev, Sections of fiber bundles over surfaces and TQFTs. Quantum Topol. 1 (2010), no. 3, pp. 275–319

DOI 10.4171/QT/7