Torus-Equivariant Chow Rings of Quiver Moduli
We compute rational equivariant Chow rings with respect to a torus of quiver moduli spaces. We derive a presentation in terms of generators and relations, use torus localization to identify it as a subring of the Chow ring of the fixed point locus, and we compare the two descriptions.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211024 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Torus-Equivariant Chow Rings of Quiver Moduli. Hans Franzen. SIGMA 16 (2020), 096, 22 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862714894862778368 |
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| author | Franzen, Hans |
| author_facet | Franzen, Hans |
| citation_txt | Torus-Equivariant Chow Rings of Quiver Moduli. Hans Franzen. SIGMA 16 (2020), 096, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We compute rational equivariant Chow rings with respect to a torus of quiver moduli spaces. We derive a presentation in terms of generators and relations, use torus localization to identify it as a subring of the Chow ring of the fixed point locus, and we compare the two descriptions.
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| first_indexed | 2026-03-20T05:52:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211024 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-20T05:52:01Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Franzen, Hans 2025-12-22T09:31:41Z 2020 Torus-Equivariant Chow Rings of Quiver Moduli. Hans Franzen. SIGMA 16 (2020), 096, 22 pages 1815-0659 2020 Mathematics Subject Classification: 14C15; 16G20 arXiv:1911.03288 https://nasplib.isofts.kiev.ua/handle/123456789/211024 https://doi.org/10.3842/SIGMA.2020.096 We compute rational equivariant Chow rings with respect to a torus of quiver moduli spaces. We derive a presentation in terms of generators and relations, use torus localization to identify it as a subring of the Chow ring of the fixed point locus, and we compare the two descriptions. I would like to thank Markus Reineke and Silvia Sabatini for inspiring discussions on this subject. I also want to thank the two referees for their valuable comments. At the time this research was conducted, I was supported by the DFG SFB/TR 191 "Symplectic structures in geometry, algebra, and dynamics". en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Torus-Equivariant Chow Rings of Quiver Moduli Article published earlier |
| spellingShingle | Torus-Equivariant Chow Rings of Quiver Moduli Franzen, Hans |
| title | Torus-Equivariant Chow Rings of Quiver Moduli |
| title_full | Torus-Equivariant Chow Rings of Quiver Moduli |
| title_fullStr | Torus-Equivariant Chow Rings of Quiver Moduli |
| title_full_unstemmed | Torus-Equivariant Chow Rings of Quiver Moduli |
| title_short | Torus-Equivariant Chow Rings of Quiver Moduli |
| title_sort | torus-equivariant chow rings of quiver moduli |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211024 |
| work_keys_str_mv | AT franzenhans torusequivariantchowringsofquivermoduli |