Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections

• 成果类型: Article
• 署名作者: Takakura, T
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• 发表日期: 1996
• 页码: 431-452
• 关键词: vector-bundles

摘要

We construct a family of polarizations of the moduli space of flat SU(n)-connections on a closed 2-manifold of genus g(greater than or equal to 2). These are generalizations of various polarizations known until now. That is, our family of polarizations includes Weitsman's real polarizations in the case of n = 2 [17], as well as the Kahler polarizations which are well known since [2] and [18]. Our construction is based on an original formulation of degeneration of Riemann surfaces. The relation between our polarizations and the complex structures of the moduli spaces of parabolic bundles are also studied.