Holomorphic aspects of moduli of representations of quivers

Pradeep Das; S. Manikandan; N. Raghavendra

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arXiv · 1711.04108

Holomorphic aspects of moduli of representations of quivers

Pradeep Das·S. Manikandan·N. Raghavendra

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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 K\"ahler 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 K\"ahler form.

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Pradeep Das, S. Manikandan, N. Raghavendra. 2017-11-11. Holomorphic aspects of moduli of representations of quivers. https://arxiv.org/abs/1711.04108

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