On some deformations of Fukaya categories

On some deformations of Fukaya categories
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关于 Fukaya 范畴的一些变形

DOI:
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发表时间:
2014
期刊:
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影响因子:
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通讯作者:
H. Kajiura
H. Kajiura
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文献类型:
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作者:
H. Kajiura

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讨论了strominger - you - zaslow镜面设置中镜面对的一定变形。我们提出了复流形经一定(实)变形量化后的变形的镜像对偶是一个具有叶状结构的辛流形。为了支持这些镜像对的变形互为镜像对偶的说法,我们构造了与复流形和辛流形的这些变形相关的范畴,并讨论了它们之间的同调镜像对称性。
A certain deformation of a mirror pair in Strominger–Yau–Zaslow mirror setting is discussed. We propose that the mirror dual of a deformation of a complex manifold by a certain (real) deformation quantization is a symplectic manifold with a foliation structure. In order to support our claim that these deformations of mirror pairs are mirror dual to each other, we construct categories associated to these deformations of complex and symplectic manifolds and discuss homological mirror symmetry between them.
同调镜像对称中的同调微扰理论
DOI: --
发表时间: 2020
期刊:
影响因子: --
作者:
Futaki Masahiro;Kajiura Hiroshige;辻 元;Hiroshige Kajiura;辻 元;辻 元;Hiroshige Kajiura;Hiroshige Kajiura
通讯作者: Hiroshige Kajiura