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The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs 𝑉-bundles and components of parabolic 𝑆𝑝(2𝑛,ℝ)-Higgs moduli spaces
Transactions of the American Mathematical Society ( IF 1.3 ) Pub Date : 2021-03-19 , DOI: 10.1090/tran/8284 Georgios Kydonakis , Hao Sun , Lutian Zhao
Transactions of the American Mathematical Society ( IF 1.3 ) Pub Date : 2021-03-19 , DOI: 10.1090/tran/8284 Georgios Kydonakis , Hao Sun , Lutian Zhao
Abstract:We generalize the classical Beauville-Narasimhan-Ramanan correspondence to the case of parabolic Higgs bundles with regular singularities and Higgs 
-bundles. Using this correspondence along with Bott-Morse theoretic techniques we provide an exact component count for moduli spaces of maximal parabolic 
-Higgs bundles with fixed parabolic structure.
中文翻译：
扭曲的希格斯𝑉-束和抛物线𝑆𝑝（2𝑛，ℝ）-希格斯模空间的分量的Beauville-Narasimhan-Ramanan对应
摘要：我们将经典的Beauville-Narasimhan-Ramanan对应关系推广到具有规则奇异性和Higgs- bundles的抛物型希格斯束的情况。使用这种对应关系以及Bott-Morse理论技术，我们为具有固定抛物线结构的最大抛物线-Higgs束的模空间提供了精确的分量计数。
更新日期：2021-04-30
-bundles. Using this correspondence along with Bott-Morse theoretic techniques we provide an exact component count for moduli spaces of maximal parabolic -Higgs bundles with fixed parabolic structure. 中文翻译：
扭曲的希格斯𝑉-束和抛物线𝑆𝑝（2𝑛，ℝ）-希格斯模空间的分量的Beauville-Narasimhan-Ramanan对应
摘要：我们将经典的Beauville-Narasimhan-Ramanan对应关系推广到具有规则奇异性和Higgs
- bundles的抛物型希格斯束的情况。使用这种对应关系以及Bott-Morse理论技术，我们为具有固定抛物线结构的最大抛物线-Higgs束的模空间提供了精确的分量计数。 
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