Moduli spaces for Bondal quivers Export

@misc{citeulike:461737, abstract = {Given a sufficiently nice collection of sheaves on a smooth variety V, Bondal explained how to build a quiver Q such that the derived category of representations of Q is equivalent to the derived category of coherent sheaves on V. We consider the case in which these sheaves are all line bundles and study the moduli spaces of semistable representations of Q for various stability conditions, which we construct using geometric invariant theory. We show that V can often be recovered as a connected component of such a moduli space, and the induced line bundle on V may be described in terms of the input data. In certain special cases, we interpret our results in the language of topological string theory.}, archivePrefix = {arXiv}, author = {Bergman, Aaron and Proudfoot, Nicholas J.}, citeulike-article-id = {461737}, citeulike-linkout-0 = {http://arxiv.org/abs/math.AG/0512166}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.AG/0512166}, day = {7}, eprint = {math.AG/0512166}, keywords = {derived, geometry, moduli, quivers, stability}, month = {Dec}, posted-at = {2006-01-11 07:48:48}, priority = {3}, title = {Moduli spaces for Bondal quivers}, url = {http://arxiv.org/abs/math.AG/0512166}, year = {2005} }

TY - ELEC ID - citeulike:461737 L3 - citeulike-article-id:461737 N2 - Given a sufficiently nice collection of sheaves on a smooth variety V, Bondal explained how to build a quiver Q such that the derived category of representations of Q is equivalent to the derived category of coherent sheaves on V. We consider the case in which these sheaves are all line bundles and study the moduli spaces of semistable representations of Q for various stability conditions, which we construct using geometric invariant theory. We show that V can often be recovered as a connected component of such a moduli space, and the induced line bundle on V may be described in terms of the input data. In certain special cases, we interpret our results in the language of topological string theory. TI - Moduli spaces for Bondal quivers KW - derived KW - geometry KW - moduli KW - quivers KW - stability AU - Bergman, Aaron AU - Proudfoot, Nicholas PY - 2005/Dec/07/ UR - http://arxiv.org/abs/math.AG/0512166 ER -