Sections of fiber bundles over surfaces and TQFTs | Zendy

Vladimir Turaev | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Sections of fiber bundles over surfaces and TQFTs

Author(s) -

Vladimir Turaev

Publication year - 2010

Publication title -

quantum topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.763

H-Index - 16

eISSN - 1663-487X

pISSN - 1664-073X

DOI - 10.4171/qt/7

Subject(s) - mathematics , fiber bundle , mathematical proof , cohomology , topological quantum field theory , pure mathematics , fiber , group (periodic table) , field (mathematics) , algebra over a field , topology (electrical circuits) , combinatorics , geometry , quantum mechanics , physics , chemistry , organic chemistry

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research