On the vertex functions of type A quiver varieties
The goal of this paper is to better understand the quasimap vertex functions of type A Nakajima quiver varieties. To that end, we construct an explicit embedding of any type A quiver variety into a type A quiver variety with all framings at the rightmost vertex of the quiver. Then, we consider quasi...
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| Format: | Article |
| Language: | English |
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Springer Netherlands
2024
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| Online Access: | https://hdl.handle.net/1721.1/153452 |
| _version_ | 1811087192340037632 |
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| author | Dinkins, Hunter |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Dinkins, Hunter |
| author_sort | Dinkins, Hunter |
| collection | MIT |
| description | The goal of this paper is to better understand the quasimap vertex functions of type A Nakajima quiver varieties. To that end, we construct an explicit embedding of any type A quiver variety into a type A quiver variety with all framings at the rightmost vertex of the quiver. Then, we consider quasimap counts, showing that the map induced by this embedding on equivariant K-theory preserves vertex functions. |
| first_indexed | 2024-09-23T13:41:29Z |
| format | Article |
| id | mit-1721.1/153452 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:41:29Z |
| publishDate | 2024 |
| publisher | Springer Netherlands |
| record_format | dspace |
| spelling | mit-1721.1/1534522024-07-12T19:56:29Z On the vertex functions of type A quiver varieties Dinkins, Hunter Massachusetts Institute of Technology. Department of Mathematics The goal of this paper is to better understand the quasimap vertex functions of type A Nakajima quiver varieties. To that end, we construct an explicit embedding of any type A quiver variety into a type A quiver variety with all framings at the rightmost vertex of the quiver. Then, we consider quasimap counts, showing that the map induced by this embedding on equivariant K-theory preserves vertex functions. 2024-02-05T15:19:09Z 2024-02-05T15:19:09Z 2024-02-01 2024-02-04T04:21:44Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/153452 Letters in Mathematical Physics. 2024 Feb 01;114(1):23 PUBLISHER_CC en https://doi.org/10.1007/s11005-024-01774-3 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Netherlands Springer Netherlands |
| spellingShingle | Dinkins, Hunter On the vertex functions of type A quiver varieties |
| title | On the vertex functions of type A quiver varieties |
| title_full | On the vertex functions of type A quiver varieties |
| title_fullStr | On the vertex functions of type A quiver varieties |
| title_full_unstemmed | On the vertex functions of type A quiver varieties |
| title_short | On the vertex functions of type A quiver varieties |
| title_sort | on the vertex functions of type a quiver varieties |
| url | https://hdl.handle.net/1721.1/153452 |
| work_keys_str_mv | AT dinkinshunter onthevertexfunctionsoftypeaquivervarieties |