A Gauss-Bonnet formula for moduli spaces of Riemann surfaces

被引：1
|
作者：
Leuzinger, Enrico [1 ]
机构：
[1] Karlsruhe Inst Technol, Inst Algebra & Geometry, D-76021 Karlsruhe, Germany
来源：
GEOMETRIAE DEDICATA | 2016年 / 180卷 / 01期
关键词：
Moduli spaces of Riemann surfaces; Mapping class groups; Euler-Poincare characteristic; Gauss-Bonnet theorems; ARITHMETIC GROUPS; THEOREM; PROOF;
D O I：
10.1007/s10711-015-0106-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a Gauss-Bonnet theorem for (finite coverings of) moduli spaces of Riemann surfaces endowed with the McMullen metric. The proof uses properties of an exhaustion of moduli spaces by compact submanifolds with corners and the Gauss-Bonnet formula of Allendoerfer and Weil for Riemannian polyhedra.
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页码：373 / 383
页数：11
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