Categories of Holomorphic Vector Bundles on Noncommutative Two-Tori

[1]  A. Polishchuk.  Noncommutative two-tori with real multiplication as noncommutative projective varieties , 2002, math/0212306.

[2]  H. Kajiura.  Kronecker foliation, D1 branes and Morita equivalence of noncommutative two tori , 2002, hep-th/0207097.

[3]  M. Douglas,et al.  Dirichlet branes, homological mirror symmetry, and stability , 2002, math/0207021.

[4]  V. Vologodsky,et al.  Non-commutative compactifications and elliptic curves , 2002, math/0205117.

[5]  M. Dieng.  Differential and Complex Geometry of Two-Dimensional Noncommutative Tori , 2002, math/0203160.

[6]  Y. Soibelman,et al.  Mirror symmetry and deformation quantization , 2002, hep-th/0202128.

[7]  Y. Manin.  Real Multiplication and noncommutative geometry , 2002, math/0202109.

[8]  S. Yau,et al.  Categorical mirror symmetry in the elliptic curve , 2001 .

[9]  A. Schwarz.  Theta Functions on Noncommutative Tori , 2001, math/0107186.

[10]  Y. Soibelman.  Quantum Tori, Mirror Symmetry and Deformation Theory , 2000, math/0011162.

[11]  Richard P. Thomas,et al.  Braid group actions on derived categories of coherent sheaves , 2000, math/0001043.

[12]  J. T. Stafford,et al.  Noncommutative curves and noncommutative surfaces , 1999, math/9910082.

[13]  A. Polishchuk,et al.  Categorical Mirror Symmetry: The Elliptic Curve , 1998, math/9801119.

[14]  I. Reiten,et al.  Tilting in Abelian Categories and Quasitilted Algebras , 1996 .

[15]  A. Polishchuk.  Symplectic biextensions and a generalization of the Fourier-Mukai transform , 1995, alg-geom/9511018.

[16]  M. Spera.  A Symplectic Approach to Yang Mills Theory for Non Commutative Tori , 1992, Canadian Journal of Mathematics.

[17]  M. Rieffel.  Critical points of Yang-Mills for noncommutative two-tori , 1990 .

[18]  M. Spera.  Yang Mills theory in non commutative differential geometry , 1988 .

[19]  M. Rieffel.  The cancellation theorem for projective modules over irrational rotation C*-algebras , 1983 .

[20]  S. Donaldson,et al.  A new proof of a theorem of Narasimhan and Seshadri , 1983 .

[21]  向井 茂.  Duality between D(X) and D(X) with its application to Picard sheaves , 1982 .

[22]  S. Mukai.  Duality between D(X) and with its application to picard sheaves , 1981, Nagoya Mathematical Journal.

[23]  C. S. Seshadri,et al.  Stable and unitary vector bundles on a compact Riemann surface , 1965 .