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摘要翻译：
我们分析了非紧toric Calabi-Yau空间上的B型D-膜。本文给出了一个通用程序，以求产生相关颤振及其关系的一组倾斜线束。在许多情况下，当一个人在k\\“Ahler模空间中的相位之间移动时，这个集合保持不变。这给出了一个特别简单的图像，说明了导出的范畴如何在所有相位之间保持不变。用于确定倾斜集的涉及局部上同调的组合问题也与一个人在相位之间移动时的PI-稳定性问题有关。因此，在某些情况下，倾斜集中的线丛在整个模空间上保持稳定。
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英文标题：
《D-Branes on Toric Calabi-Yau Varieties》
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作者：
Paul S. Aspinwall
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最新提交年份：
2009
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分类信息：
一级分类：Physics 物理学
二级分类：High Energy Physics - Theory 高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
We analyze B-type D-branes on noncompact toric Calabi--Yau spaces. A general program is presented to find a set of tilting line bundles that yields the associated quiver and its relations. In many cases, this set remains fixed as one moves between phases in the K\"ahler moduli space. This gives a particularly simple picture of how the derived category remains invariant across all phases. The combinatorial problems involving local cohomology used to determine the tilting set are also related to questions of Pi-stability as one moves between phases. As a result, in some cases precisely those line bundles in the tilting set remain stable over the whole moduli space in some sense.
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PDF链接：
https://arxiv.org/pdf/0806.2612
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