Non-standard Holomorphic Structures on Line Bundles over the Quantum Projective Line
Quantum Algebra
2026-02-09 v2 Algebraic Geometry
Abstract
In this paper we study non-standard holomorphic structures on line bundles over the quantum projective line . 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.
Keywords
Cite
@article{arxiv.2510.14263,
title = {Non-standard Holomorphic Structures on Line Bundles over the Quantum Projective Line},
author = {Mary Graveman and Landen La Rue and Lillian MacArthur and Hunter Pesin and Zhaoting Wei},
journal= {arXiv preprint arXiv:2510.14263},
year = {2026}
}
Comments
v2. 24 pages, minor changes, references updated