New index formulas as a meromorphic generalization of the Chern-Gauss-Bonnet theorem

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dc.creatorBorisov, N. V.
dc.creatorIlinski, Kirill
dc.creatorKalinin, Gleb
dc.date1996-07-28
dc.date.accessioned2026-07-07T09:14:33Z
dc.date.available2026-07-07T09:14:33Z
dc.descriptionLaplace operators perturbed by meromorphic potential on the Riemann and separated type Klein surfaces are constructed and their indices are calculated by two different ways. The topological expressions for the indices are obtained from the study of spectral properties of the operators. Analytical expressions are provided by the Heat Kernel approach in terms of the functional integrals. As a result two formulae connecting characteristics of meromorphic (real meromorphic) functions and topological properties of Riemann (separated type Klein) surfaces are derived.
dc.descriptionLATEX, 14 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9607209
dc.identifierhttp://arxiv.org/abs/hep-th/9607209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152713
dc.subjectHigh Energy Physics - Theory
dc.subjectFunctional Analysis
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNew index formulas as a meromorphic generalization of the Chern-Gauss-Bonnet theorem
dc.typetext

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