New Index Formulas as a Meromorphic Generalization of the Chern–Gauss–Bonnet Theorem

被引：0
|
作者：
N.V. Borisov
K.N. Ilinski
G.V. Kalinin
机构：
[1] St-Petersburg University,IPhys Group, CAPE
[2] University of Birmingham,School of Physics and Space Research
[3] Russian Academy of Sciences,Institute of Spectroscopy
来源：
Letters in Mathematical Physics | 1998年 / 43卷
关键词：
supersymmetry; index; meromorphic function; Klein surface;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Laplace operators perturbed by meromorphic potential on the Riemann and separated-type Klein surfaces are constructed and their indices are calculated in two different ways. The topological expressions for the indices are obtained from the study of the spectral properties of the operators. Analytical expressions are provided by the heat kernel approach in terms of 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.
引用
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页码：249 / 262
页数：13
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