论文信息 - Stability Manifold of P^1

Stability Manifold of P^1

T. Bridgeland defined the notion of a stability manifold for a triangulated category, motivated by Douglas's work on \Pi-stability for D-branes. We show that the stability manifold of the bounded derived category of the coherent sheaves on P^1 is C^2. This is the first complete picture of a stability manifold for a non-Calabi-Yau manifold.

So Okada

[1] A. Rudakov,et al. t-stabilities and t-structures on triangulated categories , 2004 .

[2] P. Aspinwall. D-Branes on Calabi-Yau Manifolds , 2004, hep-th/0403166.

[3] A. Rudakov,et al. Stability data and t-structures on a triangulated category , 2003, math/0312442.

[4] T. Bridgeland. Stability conditions on $K3$ surfaces , 2003, math/0307164.

[5] T. Bridgeland. Stability conditions on triangulated categories , 2002, math/0212237.

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

[7] A. Bondal,et al. Reconstruction of a Variety from the Derived Category and Groups of Autoequivalences , 1997, Compositio Mathematica.

[8] M. Douglas,et al. D-branes, categories and N=1 supersymmetry , 2000, hep-th/0011017.

[9] C. Bachas. on D-branes , 1999 .

[10] S. I. Gelʹfand,et al. Methods of Homological Algebra , 1996 .

[11] A. Bondal,et al. REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES , 1990 .

[12] A. Beilinson. Coherent sheaves on Pn and problems of linear algebra , 1978 .

[13] Harvey Cohn,et al. Conformal Mapping on Riemann Surfaces , 1967 .