论文标题

矩角复合物的DGA模型

Dga models for moment-angle complexes

论文作者

Franz, Matthias

论文摘要

相应的stanley-Reisner环和外部代数的扭曲张量产物给出了矩角上积分奇异的奇异线的DGA模型。我们简短地证明了这一事实,并将其扩展到真实的力矩角度复合体。我们还比较了这些空间的共同学环的各种描述,其中包括Gitler和Lópezde Medrano所说的没有证明的空间。

A dga model for the integral singular cochains on a moment-angle complex is given by the twisted tensor product of the corresponding Stanley-Reisner ring and an exterior algebra. We present a short proof of this fact and extend it to real moment-angle complexes. We also compare various descriptions of the cohomology rings of these spaces, including one stated without proof by Gitler and López de Medrano.

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