Translation quiver varieties

We introduce a framework of translation quiver varieties which includes Nakajima quiver varieties as well as their graded and cyclic versions. An important feature of translation quiver varieties is that the sets of their fixed points under toric actions can be again realized as translation quiver v...

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Bibliographic Details
Main Author: Mozgovoy, S. (Author)
Format: Article
Language:English
Published: Elsevier B.V. 2023
Online Access:View Fulltext in Publisher
LEADER 00973nam a2200133Ia 4500
001 10.1016-j.jpaa.2022.107156
008 220718s2023 CNT 000 0 und d
020 |a 00224049 (ISSN) 
245 1 0 |a Translation quiver varieties 
260 0 |b Elsevier B.V.  |c 2023 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1016/j.jpaa.2022.107156 
520 3 |a We introduce a framework of translation quiver varieties which includes Nakajima quiver varieties as well as their graded and cyclic versions. An important feature of translation quiver varieties is that the sets of their fixed points under toric actions can be again realized as translation quiver varieties. This allows one to simplify quiver varieties in several steps. We prove that translation quiver varieties are smooth, pure and have Tate motivic classes. We also describe an algorithm to compute those motivic classes. © 2022 Elsevier B.V. 
700 1 |a Mozgovoy, S.  |e author 
773 |t Journal of Pure and Applied Algebra