非交换几何中两种微分格代数的比较
Comparison between two differential graded algebras in Noncommutative Geometry
AI总结：
本文比较了非交换几何中Connes和Fröhlich等人定义的两种微分格代数，发现Connes的dga在信息性上更具优势。
摘要：
从一个谱三元组出发，可以关联到两个标准的微分格代数（dga），由Connes和Fröhlich等人定义。对于经典的谱三元组，与紧致黎曼旋量流形相关的谱三元组，这两种dga都与de-Rham dga一致。因此，两者都是非交换空间微分形式的候选者。本文比较了这两种dga，并观察到在非常精确的意义上，Connes的dga比Fröhlich等人的dga更具信息性。
英文摘要：
Starting with a spectral triple one can associate two canonical differential graded algebras (dga) defined by Connes and Fröhlich et al. For the classical spectral triples associated with compact Riemannian spin manifolds both these dgas coincide with the de-Rham dga. Therefore, both are candidates for the noncommutative space of differential forms. Here we compare these two dgas and observe that in a very precise sense Connes' dga is more informative than that of Fröhlich et al.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
