2003/12/11 by Eunsang Kim, Kim, Eunsang, Hoil Kim +1
Mathematics · Physics and Astronomy · #81T75 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #hep-th #math.QA #msc:81T75
paper · pdf · doi:10.48550/arxiv.math/0312228
14pages
arxiv created 2003/12/11 · openalex publication_date 2003/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the moduli space of standard holomorphic structures on a noncommutative complex two torus. It will be shown that the moduli space is naturally identified with the moduli space of stable bundles on an elliptic curve. We also propose that the mirror reflection of the noncommutative complex torus is the mirror reflection of the elliptic curve together with a linear foliation. From this we identify the moduli space of super cycles on the mirror reflection with the moduli space of standard holomorphic bundles on a noncommutative complex torus.