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Topology of Representation Spaces of Surface Groups in PSL2(R) with Assigned Boundary Monodromy and Nonzero Euler Number
被引：9
|作者：
Mondello, Gabriele
[1
]
机构：
[1] Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy
关键词：
representation spaces;
Euler number;
parabolic Higgs bundles;
uniformization;
D O I：
10.4310/PAMQ.2016.v12.n3.a3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we complete the topological description of the space of representations of the fundamental group of a punctured surface in SL2(R) with prescribed behavior at the punctures and nonzero Euler number, following the strategy employed by Hitchin in the unpunctured case and exploiting Hitchin-Simpson correspondence between flat bundles and Higgs bundles in the parabolic case. This extends previous results by Boden-Yokogawa and Nasatyr-Steer. A relevant portion of the paper is intended to give an overview of the subject.
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页码：399 / 462
页数：64
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