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  5. Moduli of filtered quiver representations
 
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Moduli of filtered quiver representations

Source
Bulletin Des Sciences Mathematiques
ISSN
00074497
Date Issued
2020-11-01
Author(s)
Dubey, Umesh V.  
Dr Sanjaykumar Amrutiya  
Indian Institute of Technology, Gandhinagar
DOI
10.1016/j.bulsci.2020.102899
Volume
164
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 an A<inf>n</inf>-type quiver. We also study determinantal theta functions on such moduli spaces.
Publication link
https://arxiv.org/pdf/1808.02003
URI
https://repository.iitgn.ac.in/handle/IITG2025/23932
Subjects
Filtered objects | Moduli spaces | Representations of quivers
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