Koszulity of splitting algebras associated with cell complexes
英文摘要：
We associate to a good cell decomposition of a manifold M a quadratic algebra and show that the Koszulity of the algebra implies a restriction on the Euler characteristic of M. For a two-dimensional manifold M the algebra is Koszul if and only if the Euler characteristic of M is two.
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。
