EXTENDING MIRROR CONJECTURE TO CALABI–YAU WITH BUNDLES

EXTENDING MIRROR CONJECTURE TO CALABI–YAU WITH BUNDLES
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用束将镜像猜想扩展到卡拉比-尤

DOI:
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发表时间:
1998
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影响因子:
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通讯作者:
C. Vafa
C. Vafa
中科院分区:
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文献类型:
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作者:
C. Vafa

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我们定义了镜像的概念的卡-丘流形的稳定丛的背景下,II型弦的超对称循环的镜像。这使我们能够与霍奇结构的变化所产生的上同调丛计数的全纯映射的黎曼曲面的边界上的镜侧。此外,它开辟了研究的可能性,在卡-丘流形上的超对称圈的镜像。
We define the notion of mirror of a Calabi–Yau manifold with a stable bundle in the context of type II strings in terms of supersymmetric cycles on the mirror. This allows us to relate the variation of Hodge structure for cohomologies arising from the bundle to the counting of holomorphic maps of Riemann surfaces with boundary on the mirror side. Moreover it opens up the possibility of studying bundles on Calabi–Yau manifolds in terms of supersymmetric cycles on the mirror.