A weight two phenomenon for the moduli of rank one local systems on open varieties

A weight two phenomenon for the moduli of rank one local systems on open varieties
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开簇上一阶局部系统模的权重二现象

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发表时间:
2007
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通讯作者:
C. Simpson
C. Simpson
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作者:
C. Simpson

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开放簇上表示的扭曲空间映射到围绕无穷大除数分量的局部单调变换的权重二空间。这个斜率二丛在扭量线上的 � 不变截面空间是一个实 3 维空间,其参数对应于希格斯场的复数留数和调和丛的实抛物线权重。
The twistor space of representations on an open variety maps to a weight two space of local monodromy transformations around a divisor com- ponent at infinty. The space of �-invariant sections of this slope-two bundle over the twistor line is a real 3 dimensional space whose parameters correspond to the complex residue of the Higgs field, and the real parabolic weight of a harmonic bundle.