Determinants of Laplacians in real line bundles over hyperbolic manifolds connected with quantum geometry of membranes

DOI10.1007/BF00402263zbMath0687.53077OpenAlexW1969413051MaRDI QIDQ1263109

Yuri P. Goncharov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00402263

zbMATH Keywords

determinantsmembranesSelberg zeta functionmembrane path integralPolyakov stringsThurston's classification

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80)

Related Items (2)

Vacuum energy for 3+1 dimensional space-time with compact hyperbolic spatial part ⋮ One more class of scalar Laplacian determinants connected with the quantum geometry of \(p\)-branes

Cites Work

• Determinants of Laplacians in real linear bundles connected with quantum geometry of strings
• Some 3-manifolds arising from \(PSL_2(\mathbb{Z} [i)\)]
• 3-manifolds whose universal coverings are Lie groups
• Topology and cosmology
• Closed geodesics and the \(\eta\)-invariant
• SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS
• The Geometries of 3-Manifolds

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