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A Natural Hermitian Line Bundle on the Moduli Space of Semistable Representations of a Quiver
Indian Journal of Pure and Applied Mathematics ( IF 0.7 ) Pub Date : 2020-10-06 , DOI: 10.1007/s13226-020-0446-0
Pradeep Das

This paper describes the construction of a natural Hermitian holomorphic line bundle on the stratified moduli space of complex representations of a finite quiver, which are semistable with respect to a fixed rational weight and have a fixed type. It is shown that the curvature of this Hermitian line bundle on each stratum of the moduli space is essentially the Kahler form of that stratum.



中文翻译:

颤振半稳定表示的模空间上的自然厄米线束

本文描述了在有限颤动的复表示的分层模空间上构造自然厄密全同质线束的过程,该颤动对于固定有理权重是半稳定的,并且具有固定类型。结果表明,该埃尔米特线束在模空间的每个层上的曲率本质上是该层的Kahler形式。

更新日期:2020-10-07
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