Sections of Fiber Bundles over Surfaces

نویسنده

  • VLADIMIR TURAEV
چکیده

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. AMS Subject classification: 57R20, 57R22

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تاریخ انتشار 2009