Conformally invariant gauge fixed actions for 2-D topological gravity

DOI10.1007/BF02098043zbMath0725.53071WikidataQ125372717 ScholiaQ125372717MaRDI QIDQ2276783

I. M. Singer, Laurent Baulieu

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

moduli spaces of curvestopological quantum field theorygauge fixed actionMumford invariants

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Methods of quantum field theory in general relativity and gravitational theory (83C47) Applications of global differential geometry to the sciences (53C80)

Related Items (16)

Chains of topological oscillators with instantons and calculable topological observables in topological quantum mechanics ⋮ Gribov problem, contact terms and Čech-De Rham cohomology in 2D topological gravity ⋮ B-V quantization and field-anti-field duality for \(p\)-form gauge fields, topological field theories and 2D gravity ⋮ BRST BMS4 symmetry and its cocycles from horizontality conditions ⋮ Universal bundle for gravity, local index theorem, and covariant gravitational anomalies ⋮ An angular dependent supersymmetric quantum mechanics with a \(\mathbf{Z}_2\)-invariant potential ⋮ The algebraic structure of cohomological field theory ⋮ Appearance of universal bundle structure in four-dimensional topological gravity ⋮ Lectures on \(2\)D Yang-Mills theory, equivariant cohomology and topological field theories ⋮ On the background independence of two-dimensional topological gravity ⋮ Basic and equivariant cohomology in balanced topological field theory ⋮ Algebraic renormalization of twisted \(N=2\) supersymmetry with \(Z=2\) central extension ⋮ Algebraic characterization of vector supersymmetry in topological field theories ⋮ Representatives of the Thom class of a vector bundle ⋮ Some remarks on topological 4D-gravity ⋮ Semirigid supergravity

Cites Work

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• Topological quantum field theory
• The homology of the mapping class group
• The moduli space of a punctured surface and perturbative series
• Characteristic classes of surface bundles
• Topological Yang-Mills symmetry

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