A Natural Hermitian Line Bundle on the Moduli Space of Semistable Representations of a Quiver

Pradeep Das ()
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Pradeep Das: Harish-Chandra Research Institute, HBNI

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 1003-1021

Abstract: Abstract 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.

Keywords: Representations of quivers; moduli spaces; moment maps; Hermitian line bundles; 16G20; 53D20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0446-0

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