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A topological mirror symmetry on noncommutative complex two-tori
- Authors
- Kim, Eunsang; Kim, Hoil
- Issue Date
- Sep-2006
- Publisher
- 대한수학회
- Keywords
- noncommutative complex torus; mirror symmetry; Kronecker foliation
- Citation
- Journal of the KMS, v.43, no.5, pp 951 - 965
- Pages
- 15
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- Journal of the KMS
- Volume
- 43
- Number
- 5
- Start Page
- 951
- End Page
- 965
- ISSN
- 0304-9914
2234-3008
- Abstract
- In this paper, we study a topological mirror symmetry on noncommutative complex tori. We show that deformation quantization of an elliptic curve is mirror symmetric to an irrational rotation algebra. From this, we conclude that a mirror reflection of a noncommutative complex torus is an elliptic curve equipped with a Kronecker foliation.
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Related Researcher
- Kim, Eun sang
- ERICA부총장 한양인재개발원 (ERICA 창의융합교육원)