Stability Manifold of P^1
Algebraic Geometry
2007-05-23 v3 Category Theory
Abstract
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.
Cite
@article{arxiv.math/0411220,
title = {Stability Manifold of P^1},
author = {So Okada},
journal= {arXiv preprint arXiv:math/0411220},
year = {2007}
}
Comments
Lots of minor collections made and explanations added