An obstructed bundle on a Calabi-Yau 3-fold
An obstructed bundle on a Calabi-Yau 3-fold
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Calabi-Yau 3 折上的受阻束
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
Richard P. Thomas
中科院分区：
文献类型：
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作者：
Richard P. Thomas
镜像对称性表明，在Calabi-Yau上，稳定丛的3重模空间，特别是那些具有零度且不可分的Chern类的稳定丛空间可能是光滑的(即无阻的，尽管其维度可能太高)。这是因为镜面中平滑嵌入的特殊拉格朗日循环具有无阻碍的变形。由于文献中似乎没有反例，我们在这里提供了一个反例，表明这样的田-托多罗夫-麦克莱恩型结果不成立。
Mirror symmetry suggests that on a Calabi-Yau 3-fold moduli spaces of stable bundles, especially those with degree zero and indivisible Chern class, might be smooth (i.e. unobstructed, though perhaps of too high a dimension). This is because smoothly embedded special lagrangian cycles in the mirror have unobstructed deformations. As there does not seem to be a counterexample in the literature we provide one here, showing that such a Tian-Todorov-McLean-type result cannot hold.