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

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Laplace 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.
LATEX, 14 pages

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High Energy Physics - Theory, Functional Analysis, General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/152713

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9607209
 http://arxiv.org/abs/hep-th/9607209

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arXiv