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

Abstract

In this paper we study non-standard holomorphic structures on line bundles over the quantum projective line C P1q. 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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