Abstract
We describe an isomorphism of categories conjectured by Kontsevich. If M and M are mirror pairs then the conjectural equivalence is between the derived category of coherent sheaves on M and a suitable version of Fukaya's category of Lagrangian submanifolds on M. We prove this equivalence when M is an elliptic curve and M is its dual curve, exhibiting the dictionary in detail.
Original language | English (US) |
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Pages (from-to) | 443-470 |
Number of pages | 28 |
Journal | Advances in Theoretical and Mathematical Physics |
Volume | 2 |
Issue number | 2 |
DOIs | |
State | Published - Mar 1998 |
ASJC Scopus subject areas
- General Mathematics
- General Physics and Astronomy