Non-standard Holomorphic Structures on Line Bundles over the Quantum Projective Line
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910013773053952 |
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| author | Graveman, Mary La Rue, Landen MacArthur, Lillian Pesin, Hunter Wei, Zhaoting |
| author_facet | Graveman, Mary La Rue, Landen MacArthur, Lillian Pesin, Hunter Wei, Zhaoting |
| contents | In this paper we study non-standard holomorphic structures on line bundles over the quantum projective line $\mathbb{C} P^1_q$. We show that there exist infinitely many non-gauge equivalent holomorphic structures on those line bundles. This gives a negative answer to a question raised by Khalkhali, Landi, and Van Suijlekom in 2011. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14263 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-standard Holomorphic Structures on Line Bundles over the Quantum Projective Line Graveman, Mary La Rue, Landen MacArthur, Lillian Pesin, Hunter Wei, Zhaoting Quantum Algebra Algebraic Geometry 58B34, 46L87, 46L67, 20G42 In this paper we study non-standard holomorphic structures on line bundles over the quantum projective line $\mathbb{C} P^1_q$. We show that there exist infinitely many non-gauge equivalent holomorphic structures on those line bundles. This gives a negative answer to a question raised by Khalkhali, Landi, and Van Suijlekom in 2011. |
| title | Non-standard Holomorphic Structures on Line Bundles over the Quantum Projective Line |
| topic | Quantum Algebra Algebraic Geometry 58B34, 46L87, 46L67, 20G42 |
| url | https://arxiv.org/abs/2510.14263 |