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arXiv · 2510.14263

Non-standard Holomorphic Structures on Line Bundles over the Quantum Projective Line

Mary Graveman·Landen La Rue·Lillian MacArthur·Hunter Pesin·Zhaoting Wei
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Abstract

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.

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Mary Graveman, Landen La Rue, Lillian MacArthur, Hunter Pesin, Zhaoting Wei. 2026-02-06. Non-standard Holomorphic Structures on Line Bundles over the Quantum Projective Line. https://arxiv.org/abs/2510.14263

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