We define the Atiyah class for global matrix factorisations and use it to give a formula for the categorical Chern character and the boundary-bulk map for matrix factorisations, generalising the formula in the local case obtained in [12]. Our approach is based on developing the Lie algebra analogies observed by Kapranov [7] and Markarian [9].

中文翻译：

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全球矩阵分解的 ATIYAH 类和 CHERN 字符

我们为全局矩阵分解定义了 Atiyah 类，并使用它给出了分类陈字符的公式和矩阵分解的边界-体积图，将公式推广到 [12] 中获得的局部情况。我们的方法基于开发 Kapranov [7] 和 Markarian [9] 观察到的李代数类比。