Holomorphic aspects of moduli of representations of quivers

Pradeep Das (), S. Manikandan () and N. Raghavendra ()
Additional contact information
Pradeep Das: HBNI
S. Manikandan: HBNI
N. Raghavendra: HBNI

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 2, 549-595

Abstract: Abstract This article describes some complex-analytic aspects of the moduli space of the finite-dimensional complex representations of a finite quiver, which are stable with respect to a fixed rational weight. We construct a natural structure of a complex manifold on this moduli space, and a Kahler metric on the complex manifold. We then define a Hermitian holomorphic line bundle on the moduli space, and show that its curvature is a rational multiple of the Kähler form.

Keywords: Quiver representations; Moduli space; Kähler metric; Hermitian line bundle (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s13226-019-0344-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:50:y:2019:i:2:d:10.1007_s13226-019-0344-5

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-019-0344-5

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().