Relative critical loci and quiver moduli
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866910396610248704 |
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| author | Bozec, Tristan Calaque, Damien Scherotzke, Sarah |
| author_facet | Bozec, Tristan Calaque, Damien Scherotzke, Sarah |
| contents | In this paper we identify the cotangent to the derived stack of representations of a quiver $Q$ with the derived moduli stack of modules over the Ginzburg dg-algebra associated with $Q$. More generally, we extend this result to finite type dg-categories, to a relative setting as well, and to deformations of these. It allows us to recover and generalize some results of Yeung, and leads us to the discovery of seemingly new lagrangian subvarieties in the Hilbert scheme of points in the plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_01069 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Relative critical loci and quiver moduli Bozec, Tristan Calaque, Damien Scherotzke, Sarah Representation Theory Algebraic Geometry Algebraic Topology Category Theory Symplectic Geometry In this paper we identify the cotangent to the derived stack of representations of a quiver $Q$ with the derived moduli stack of modules over the Ginzburg dg-algebra associated with $Q$. More generally, we extend this result to finite type dg-categories, to a relative setting as well, and to deformations of these. It allows us to recover and generalize some results of Yeung, and leads us to the discovery of seemingly new lagrangian subvarieties in the Hilbert scheme of points in the plane. |
| title | Relative critical loci and quiver moduli |
| topic | Representation Theory Algebraic Geometry Algebraic Topology Category Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2006.01069 |