Moduli of filtered quiver representations
arXiv:1808.02003 · doi:10.1016/j.bulsci.2020.102899
Abstract
In this paper, we give a construction of the moduli space of filtered representations of a given quiver of fixed dimension vector with the appropriate notion of stability. The construction of the moduli of filtered representations uses the moduli of representations of ladder quiver. The ladder quiver is introduced using a given quiver and a linear type quiver. We also study determinantal theta functions on such moduli spaces.
25 pages, corrected some results, improved exposition, added new section on determinantal theta functions