论文标题
$ \ mathbb {f} _1 $的同源镜对称性通过摩尔斯
Homological mirror symmetry of $\mathbb{F}_1$ via Morse homotopy
论文作者
论文摘要
这是我们论文Arxiv：2008.13462的续集，我们提出了对摩尔斯式折线的摩尔斯同型的定义。我们以此为福卡亚类别的福卡亚类别的替代品，通过Strominger-yau-Zaslow构造了Mirror Dual Landau-Ginzburg模型，证明了用于投影空间及其产品的同源镜子对称性。在本文中，我们进一步发展，将先前的结果扩展到Hirzebruch Surface $ \ Mathbb {F} _1 $的情况。
This is a sequel to our paper arXiv:2008.13462, where we proposed a definition of the Morse homotopy of the moment polytope of toric manifolds. Using this as the substitute of the Fukaya category of the toric manifolds, we proved a version of homological mirror symmetry for the projective spaces and their products via Strominger-Yau-Zaslow construction of the mirror dual Landau-Ginzburg model. In this paper we go this way further and extend our previous result to the case of the Hirzebruch surface $\mathbb{F}_1$.
