Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten thoery for D-type quivers
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912416224247808 |
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| author | He, Weiqiang Zhang, Yingchun |
| author_facet | He, Weiqiang Zhang, Yingchun |
| contents | This is the second work on Seiberg Duality. This work proves that the Seiberg duality conjecture holds for star-shaped quivers: the Gromov-Witten theories for two mutation-related varieties are equivalent.
In particular, it is known that a $D$-type quiver goes back to itself after finite times quiver mutations, and we further prove that Gromov-Witten theory together with kähler variables of a $D_3$-type quiver variety return to the original ones after finite times quiver mutations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02402 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten thoery for D-type quivers He, Weiqiang Zhang, Yingchun Algebraic Geometry Representation Theory This is the second work on Seiberg Duality. This work proves that the Seiberg duality conjecture holds for star-shaped quivers: the Gromov-Witten theories for two mutation-related varieties are equivalent. In particular, it is known that a $D$-type quiver goes back to itself after finite times quiver mutations, and we further prove that Gromov-Witten theory together with kähler variables of a $D_3$-type quiver variety return to the original ones after finite times quiver mutations. |
| title | Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten thoery for D-type quivers |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2302.02402 |