Categories of holomorphic vector bundles on noncommutative two-tori

Details Categories of holomorphic vector bundles on noncommutative two-tori Categories of holomorphic vector bundles on noncommutative two-tori

2002-11-17

arxiv.org/abs/math/0211262v2

Commun.Math.Phys. 236 (2003) 135-159

Mathematics

Quantum Algebra

AMSLatex, 23 pages, references added

Scientific paper

10.1007/s00220-003-0813-9

In this paper we study the category of standard holomorphic vector bundles on a noncommutative two-torus. We construct a functor from the derived category of such bundles to the derived category of coherent sheaves on an elliptic curve and prove that it induces an equivalence with the subcategory of stable objects. By the homological mirror symmetry for elliptic curves this implies an equivalence between the derived category of holomorphic bundles on a noncommutative two-torus and the Fukaya category of the corresponding symplectic (commutative) torus.

Affiliated with

Also associated with

No associations

Rating

Categories of holomorphic vector bundles on noncommutative two-tori does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Categories of holomorphic vector bundles on noncommutative two-tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Categories of holomorphic vector bundles on noncommutative two-tori will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-403622