论文标题
相干分析式滑轮的简单Chern-Weil理论，第一部分
Simplicial Chern-Weil theory for coherent analytic sheaves, part I
论文作者
论文摘要
在“ Chern Chern for Coohent Sheaves”中，H.I。绿色构造了连贯分析式滑轮的DE RHAM共同学中的Chern类。我们在这里构建一个正式的$（\ infty，1）$ - 分类框架，我们可以将Green的作品放置在其中，并对其进行概括，也可以更好地了解什么是简单的连接。结果将是能够在所谓的可允许的简单连接的曲率上与广义不变的多项式（将在本文的续集中引入），以在共同分析分子的特征性类别的De Rham共同体中获得明确的čech代表。
In "Chern classes for coherent sheaves", H.I. Green constructs Chern classes in de Rham cohomology of coherent analytic sheaves. We construct here a formal $(\infty,1)$-categorical framework into which we can place Green's work and generalise it, also obtaining a better idea as to what exactly a simplicial connection should be. The result will be the ability to work with generalised invariant polynomials (which will be introduced in the sequel to this paper) evaluated at the curvature of so-called admissible simplicial connections to get explicit Čech representatives in de Rham cohomology of characteristic classes of coherent analytic sheaves.
