紧复形是 Golod 的
Tight complexes are Golod
AI总结：
本文证明紧单纯复形具有 Golod 性质，并由此得出闭连通可定向流形三角剖分中 Golod 性与紧性等价。
摘要：
单纯复形的 Golod 性质是通过 Stanley-Reisner 环在代数上定义的，寻找其组合刻画一直是一个长期存在的问题。单纯复形的紧性是流形嵌入欧几里得空间的紧嵌入的组合类比，并与极小流形三角剖分相关。本文证明了紧复形是 Golod 的，并作为推论，对于闭连通可定向流形的三角剖分，Golod 性质与紧性是等价的。
英文摘要：
The Golodness of a simplicial complex is defined algebraically in terms of the Stanley-Reisner ring, and it has been a long-standing problem to find its combinatorial characterization. The tightness of a simplicial complex is a combinatorial analogue of a tight embedding of a manifold into the Euclidean space, and has been studied in connection to minimal manifold triangulations. In this paper, we prove that tight complexes are Golod, and as a corollary, we obtain that for triangulations of closed connected orientable manifolds, the Golodness and the tightness are equivalent.
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。
