ON THE FUNCTORIALITY OF THE CHERN–SIMONS LINE BUNDLE AND THE DETERMINANT LINE BUNDLE

DOI10.1142/S0219199706002271zbMath1110.58005OpenAlexW2045972710MaRDI QIDQ3421623

Hajime Fujita

Publication date: 7 February 2007

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199706002271

zbMATH Keywords

mapping class groupdeterminant line bundleChern-Simons line bundle

Mathematics Subject Classification ID

Moduli problems for topological structures (58D29) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Group actions on manifolds and cell complexes in low dimensions (57M60) Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (2)

The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori. I. ⋮ Modular functors, cohomological field theories, and topological recursion

Cites Work

• Unnamed Item
• Stability of the homology of the mapping class groups of orientable surfaces
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Some comments on Chern-Simons gauge theory
• Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries
• Classical Chern-Simons theory. I
• CHERN-SIMONS INVARIANTS OF 3-MANIFOLDS WHICH FIBER OVER S¹
• The second homology groups of mapping class groups of orientable surfaces
• The Yang-Mills equations over Riemann surfaces

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